Nelson Functions 11 Errata
Chapter 1: Introduction to Functions
Location
Question Correct Answer
Getting Started
6a
Graph is correct but vertex and axis of symmetry are not
labelled. Add blue point labelled (in black) (0, –6) and add
broken black line on top of y-axis, labelled (in black) x = 0.
Getting Started
6b
Graph is correct but vertex and axis of symmetry are not
labelled. Add blue point labelled (in black) (2, –1) and add
broken red vertical line, labelled (in black) x = 2.
Getting Started
6c
Graph is correct but vertex and axis of symmetry are not
labelled. Add blue point labelled (in black) (–4, 2) and add
broken black vertical line, labelled (in black) x = –4.
Getting Started
6d
Graph is correct but vertex and axis of symmetry are not
labelled. Add blue point labelled (in black) (3, 9) and add
broken black vertical line, labelled (in black) x = 3.
Getting Started
7c
1
Vertical compression, scale factor , then translate right
2
1 unit and down 4 units
Getting Started
9
In the table, right column, “Number of quadrants” should
be: 2, 3, or 4
Last line of non-table text should be changed to: … linear
relations may only enter 2 or 3 quadrants, quadratic relations
must enter at least 2 quadrants.
1.1
3
Insert at start of answer: y = 6; y = 2 or 3;
1.1
7c
The text answer is correct. Change graph to a
graph with x-scale –10 to 2, y-scale –8 to 4, standard labels
3
+ graph of y = − ( x + 3) 2 + 1 , labelled with this equation.
4
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1
1.1
13b
Use graph with x-scale –1 to 11, y-scale –6 to 6, standard
labels + rays as shown:
1.1
1.2
1.2
1.2
15d
6a
14
18
In line 2, change “more” to: less
domain = {–2, 2, 3, 5, 7},
f(x) =& 0.0036x(281 – x)
Add between 1st and 2nd sentences: Advantages: function
notation connects input with output; can write expressions
involving more than one function.
1.4
2f
1.4
6
Change student examples will vary to: Function notation
makes relations clearer, for example, T(d) = 11 + 0.015d
helps show that the temperature depends on the depth and
T(3585) = 11 + 0.015d shows that the temperature at a depth
of 3585 m is being determined.
Change last part to: range = {y ∈ R | y = –6, –2 ≤ y < 2, y ≥
4}
Above graph, insert table:
Speed (km/h)
Time (h)
1.4
1.5
17d
2de
1.5
1.7
14
7a
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1
2
3
4
5
6
8
10
15
20
15.0
7.5
5
3.75
3
2.5
1.875
1.5
1
0.75
Change last part to: range = {P ∈ R | 5 2 ≤ P ≤ 40}
Switch the entire answers for parts d and e; that is, graphs
and text.
y = 0.38x + 0.49
⎛ 1 ⎞
⎛ 1 ⎞
Change label on graph from y = ⎜ − x ⎟ to: y = ⎜ − x ⎟
⎝ 4 ⎠
⎝ 3 ⎠
2
1.7
7b
Use graph with x-scale –12 to 12, y-scale –2 to 6, standard
labels + graphs as shown; label right hand graph y = x ,
1
1
upper left graph y = − x , lower left graph y = − x ]
2
3
1.7
1.7
8a
10a
1.7
10b
1.7
10c
1.8
1
1.8
7b
1.8
1.8
7c
9c
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g(x) = | 3x |
Insert before “g(x)”: f(x): domain = {x ∈ R},
range = {y ∈ R | y ≥ 0}
Insert before “g(x)”: f(x): domain = {x ∈ R | x ≥ 0},
range = {y ∈ R | y ≥ 0}
Insert before “g(x)”: f(x): domain = {x ∈ R | x ≠ 0},
range = {y ∈ R | y ≠ 0}
1
Replace C with: C: horizontal compression, factor ;
3
Replace with graph with x-scale –14 to 10, y-scale –6 to 4,
standard labels + graphs as shown; label curve
⎡1
⎤
y = − f ⎢ ( x + 1)⎥ + 2 ]
⎣4
⎦
Change range to: range = {y ∈ R | y ≤ 2}
Change range to: range = {y ∈ R | y ≥ –1}
Change range to: range = {y ∈ R | y ≤ 4}
3
1.8
14
Graph the following with unchanged scale, labels:
1.8
16
Change the radical sign to:
y = 3 − ( x − 5) − 2
1.8
19b
1.8
1.8
1.8
20c
21
22a
1.8
22b
Chapter Review
Chapter Review
Chapter Review
Chapter Review
Chapter Review
Chapter SelfTest
14a
19a
19b
19c
19d
6a
1
, k = –1, c = –4, d = –3
2
–6, 15
In 2nd line, before “apply vertical stretch…”, insert: C.
Change translation 3 units left and 1 unit up to:
translation 6 units left and 2 units up
2
⎡
⎤
1
⎡1
⎤
2
y = − ( x + 6) + 2 ⎢ or y = − ⎢ ( x + 6) ⎥ + 2⎥
4
⎣2
⎦
⎣⎢
⎦⎥
Yes; vertical stretch must be done before vertical translation
Change inequality sign in domain to: ≥
Change inequality sign in domain to: ≤
Change inequality sign in domain to: ≥
domain = {x ∈ R | x ≤ 9}, range = {y ∈ R | y > 3}
Replace with the following graph with x-scale –5000 to
25 000, y-scale –500 to 2500, x, y labels + ray with point as
shown, label ray “f(x) = 0.04(x – 2500) + 1500” + scale
exactly as shown:
2009 Nelson Education Ltd.
a=
4
Chapter SelfTest
6c
Replace graph with the following graph with x-scale –500 to
2500, y-scale –5000 to 25 000, x, y labels + ray with point as
shown, label ray “f –1(x) = 25(x – 1500) + 2500” + scale
exactly as shown:
Chapter SelfTest
Chapter SelfTest
6e
Replace the final value with: = $8500
8a
Insert after “d = 2”: ; y =
1
− ( x − 2)
2
Change function label on graph to: y =
Chapter SelfTest
8b
Insert after “d = –2”: ; y =
1
− ( x − 2)
2
−4
−3
x+2
Change function label on graph to: y =
−4
−3
x+2
Chapter 2: Equivalent Algebraic Expressions
Location
Question Correct Answer
2.1
7
Add: Answers may vary. For example,
2.1
15c
Replace answer with:
5x + 24, where x is the number in the top left corner;
5x + 18, where x is the number in the top right corner;
5x 24, where x is the number in the bottom right corner
2.1
17a
Add: Answers may vary. For example,
2.1
17b
Add: Answers may vary. For example,
2.2
9a
2.2
14a
Add: Answers may vary. For example,
2.2
14b
Add: Answers may vary. For example,
will have
terms.
2.2
16a
Answers may vary. For example,
45
i) 4
ii) 4 + 42 = 20
iii) 2025 = 452
2.3
12b
The area of the region between the outside of the inner ring and
the outside of the outer ring.
2.3
15c
2.3
15d
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5
Mid-Chapter
Review
Mid-Chapter
Review
Mid-Chapter
Review
Mid-Chapter
Review
2.4
2a
The answer is just: no
2b
The answer is just: yes
2c
The answer is just: yes
2d
The answer is just: no
2.4
5a
2.4
5b
2.4
2.4
2.4
2.4
2.4
2.4
2.4
6a
6b
6c
6d
6e
6f
14a iii
2.4
14b
4d
,
Add: denominator cannot equal zero
Add: the denominator cannot equal zero
Add: the denominator cannot equal zero
Add: the denominator cannot equal zero
Add: the denominator never equals zero
Add:
yes;
2.4
16a
2.4
16b
2.4
16c
2.4
17b
and
and
and
Add
2.7
2d
2.7
9d
2.7
14b
Factor the quadratic denominators and determine the common
denominator by taking the product of the unique factors of each
denominator. Answers will vary. For example,
and
factor to;
and
.
The LCD is
2.7
15b
2009 Nelson Education Ltd.
Answers may vary. For example,
or
6
Chapter
17a
or
Review
Chapter
17bi
Review
Chapter
17bii
, so he cannot win
Review
Chapter 3: Quadratic Functions
Location
Question Correct Answer
3.1
16
3.2
3.2
11c
12
between $22 971 and $57 029
It is possible, because maximum rectangular area occurs
3.3
6a b
m
when rectangle is 125 m by
The graph is correct but replace
with
.
3.3
3.3
8
10c
3.3
3.3
Mid Chapter
Review
13a iv
13c iv
10
Mid Chapter
Review
Mid Chapter
Review
3.5
3.5
3.5
3.5
3.5
3.5
3.5
12a
3.6
12
3.7
13c
3.8
4b
with
and replace
12b
5a
6c
6d
8c
12
13a
14
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about (2.59, 0), about (–0.26, 0)
836 or 10 163
900 or 11 099
2016
Add "about": about 2.1 m
Add "about": about 1.68 s and about 17.09 s
Add to the answer of $2.75: (It is unreasonable to raise the
fare to $14.25.)
A: break-even at x = 4.8
B: break-even at about x = 0.93 or 5.22
C: break-even at about x = 2.24 or 6.19
Buy Machine B. It has the earliest break-even point.
Change equation to:
f(x) = –443(x – 1.35)2 + 442
about (1.91, 8.91), about ( 1.57, 5.43)
7
3.8
4d
about (–1.59, –3.97), about (–0.16, 3.22)
3.8
6
either $3.00 or $4.00
3.8
7
Before the answer, add: Answers may vary. For example,
3.8
10
Add "about": about 7.20 s
3.8
12
Add "about": Yes, at about 0.18 s after kick at (0.18, 4.0)
Chapter Review 16
Use k instead of x: k < –0.5 or k > 3.5
Chapter Review 20b
Add "about": about 8.8 m
Chapters 1–3 Cumulative Review
Location
Question Correct Answer
Cumulative
24a.–d.
The answer in the book is correct, but in each part of the
Review Chapters
equation, change 1 in the inequality to: 0
1–3
Cumulative
35a
8 or 30 students
Review Chapters
1–3
Chapter 4: Exponential Functions
Location
Question Correct Answer
4.1
2c
They are similar in that both first difference tables show a
multiplicative pattern. They are different in that in the first
case the values decrease sharply and then level off while in
the second case the values start level and then increase
sharply.
4.2
1e
4.2
1f
4.2
4.3
4.3
4.3
18c
3d
6c
6d
b(m + 4n)
7-1
4.3
4.3
4.3
4.4
4.4
Mid-Chapter
Review
4.5
4.6
6f
15a
15b
3b
10d
1b
82 = 64
Answers may vary. For example, m = 1, n = 2
n=0
x2y2 = 36
y<0
2a
2c
exponential; the values decrease at a fast rate
4.6
7
2009 Nelson Education Ltd.
The base function is
. Vertical stretch factor 7 and
translation of 1 unit down and 4 units to the right.
Replace graph, graph should not show x < 0:
8
4.6
13
Replace graph with the following.
4.7
4.7
4.7
4.7
8c
13b
17b
17c
4.7
Chapter Review
Chapter Review
Chapter Review
Chapter Review
18b
5a
5b
5f
6
16 years ago
Add the word "about": 49.3%
Answers may vary. For example, y = 4.25x.
There are too few pieces of data to make a model, and the
exponential growth cannot continue indefinitely.
Add the word "about": 32.2%
a0
b1
; therefore
for a, b > 0
Chapter Review
7b
Chapter Review
11b
Chapter Review
11c
The graph is correct, but type should be: y = 2x; vertical
compression by a factor of , reflection in the y-axis, and
translation of 1 unit up
The graph is correct, but type should be: y = 3x; reflection in
the x-axis, vertical stretch by a factor of 2, horizontal
compression by a factor of , and a translation of 2 units left
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9
Chapter Review
11d
The graph is correct, but: y = 5x; reflection in the x-axis,
vertical compression by a factor of
Chapter Review
Chapter Review
Chapter Review
12
14c
14f
Chapter Review
Chapter SelfTest
17d
1b
Chapter SelfTest
1c
, horizontal
compression by a factor of , and a translation of 3 units
right and 10 units up
Change equation to: y = 0.5-x + 1
Graph should not show x < 0. Change y to: f(t)
There would be a horizontal compression of the graph; that
is, the values would decrease more quickly.
about 7.2%
If the second differences are 0 then the relationship is linear.
If the second differences are equal but non-zero then the
relationship is quadratic. If the second differences show a
multiplicative pattern then the relationship is exponential.
reflection in the x-axis, vertical compression of , horizontal
compression of , and a translation of 2 units left and 5
units up.
Chapter 5: Trigonometric Ratios
Location Question
Correct Answer
5.1
5b ii
45°
5.1
5b iii
56°
5.2
9
5.2
13
5.2
15c
5.3
5.3
2
3b
Add: Answers may vary. For example, …
5.4
5.4
5.4
5.4
5.4
5.4
5.4
5.4
5.4
5.4
5.4
2a
2b
2c
2d
5abcd
6abcdef
7b
7c
7e
7f
16ab
For r, sin θ, cos θ, and θ, replace = by =&
For r, sin θ, cos θ, and θ, replace = by =&
For r, sin θ, cos θ, and θ, replace = by =&
For θ, replace = by =&
For sin, cos, and tan, replace = by =&
For θ, β, replace = by =&
–37°
–104°
–48°
–107°
For θ, replace = by =&
2009 Nelson Education Ltd.
10
MidChapter
Review
5.5
5.5
5.5
3
tan 54° or 234°, csc 46° or 134°, sec 44° or 316°, cot 36° or
216°
1b
1d
4
add: except 90° and 270°
add: except 90° and 270°
5.5
5.5
5.5
5.5
5.5
5.6
5.6
5.6
5.6
5.6
5d
10
12b
14b iv
14b vi
4b
8
9
10
11
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= R.S.
L.S. and R.S. are reversed, but the identify is proven.
not an identity; for example, csc2 45° + sec2 45° ≠ 1
Last line should read: “where sin α ≠ ± 1”
sin β ≠ –cos β
sin x ≠ 0, cos x ≠ −1
68° or 112°
4139 m
about 299.7 m
13 m
Carol on same side as 66° only. Distance to 66° is 11 m:
a) 28 m b) 36 m c) 63 m
Carol on same side as 66° only. Distance to 35° is 11 m:
a) 5 m b) 6 m c) 2 m
Carol on same side as 35° only. Distance to 66° is 11 m:
a) 9 m b) 11 m c) 5 m
Carol on same side as 35° only. Distance to 35° is 11 m:
a) 19 m b) 24 m c) 24 m
All on same side. Distance to 35° is 11 m:
a) 19 m b) 24 m c) 7m
All on same side. Distance to 66° is 11 m:
a) 28 m b) 36 m c) 16 m
Carol on same side as neither. Distance to 35° is 11 m:
a) 5 m b) 6 m c) 6 m
Carol on same side as neither. Distance to 66° is 11 m:
a) 9 m b) 11 m c) 19 m
11
5.6
14
a)
N
L
M
sin L sin M
=
l
m
height = msin L
l > m,
N
b)
L
N
or
M
L
M
h = msin L
msin L < l < m
c)
N
L
M
h = msin L
l<h
5.6
5.7
5.7
5.7
15b
5
9a
9b
5.7
5.7
5.8
5.8
5.8
10
14b
3b
3d
4a
5.8
5.8
9
9
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3 km
The art in the question should have 8.8 m, 6.5 m, not cm.
Add: (Answer: 85°)
Add: (Answer: 273 m)
In art for the answer, change: 85.2° to 85°
101 m
A is higher by 210 m
38 cm
65°
520.2 m
Determine angle D using the sum of angles rule. Then,
determine b using the sine law. Finally, determine h using the
sine trigonometric ratio.
The question needs to change 13.5 m to: 8.8 m
Add to current answer:
First, calculate the distance from Tara to the boat. Since the
angle of elevation for both girls is the same, the distance
between each girl and the boat is the same. Then, the cosine
law can be applied to determine the angle between Tara and
12
6
the boat.
You need the altitude of the balloon and the angle formed by
the horizontals of the friends’ sight lines.
605 m
Graphic should show β = 55°, not θ = 55° (keep in fourth
quadrant); show θ = 55° (in first quadrant) on diagram too
Add: β ≠ 0°, 180°, 360°
7a
Add: α ≠ 90° or 270°
7b
Change last line to: φ ≠ 0°, 90°, 180°, 270°, or 360°
7c
Change last line to: x ≠ 0°, 90°, 180°, 270°, or 360°
7d
Change last line to: θ ≠ 90° or 270°
9
5.7 km or 30.5 km
11
9.4 m
13
46°
4ai
θ should be replaced by: φ
Add: φ ≠ 90°, 270°
5.8
12b
5.8
Chapter
Review
Chapter
Review
Chapter
Review
Chapter
Review
Chapter
Review
Chapter
Review
Chapter
Review
Chapter
Review
Chapter
Review
Chapter
Self-Test
Chapter
Self-Test
14
3cii
4bi
, α ≠ 0°, 180°, 360°
Chapter 6: Sinusoidal Functions
Location
Question Correct Answer
Getting
3a
31°
Started
Getting
3b
153°
Started
Getting
7
Replace “≠” by: or
Started
6.1
4a
period: about 6.5
6.1
4b
period: about 3.1
6.1
4e
period: 5
6.1
9
Graph should show more than one cycle, and add: Answers may
vary. For example,
6.1
10
Graph should show more than one cycle, and add: Answers may
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13
vary. For example,
period: 7 min; axis: d = 25; amplitude: 15 cm
Change domain to: domain:
The graph x-axis should be adjusted to show max and min at +1
and –1.
Add: Answers may vary. For example,
Replace “circle” with: function
Dots should be removed from the graph.
The amplitude is the maximum positive or negative
displacement from rest.
Answers may vary. For example, yes, because she is never
closer than 2 m from the motion detector.
Graph should be horizontally translated so that there is a
minimum at 0 s, and should be extended to 120 s.
Graph should be horizontally translated so that there is a
minimum at 0 s, and should be extended to 45 s.
Replace graph with the following, with x-label t and y-label h (to
match other graphs in this question):
6.1
6.1
6.2
13c
15c
3a
6.2
6.2
6.2
6.2
12
14
16b
16d
6.3
1e
6.3
6a
6.3
6b
6.3
6d
6.3
6.3
6.3
6.3
6.3
6.3
6.3
Mid-Chapter
Review
Mid-Chapter
Review
8a
8b
8c
10
15c
15d
15e
2e
Graph should be shifted up so that the range is from 0 to 52 cm.
approximately 50 cm
approximately 337 cm
In the question, the ° in the equation should be after 2sin(12t).
Table for displacement of small gear should be extended to 24 s.
–0.52 m
–0.87 m
Add units: psi
5e
Change last part to: 2: 503 cm/s
2009 Nelson Education Ltd.
14
Mid-Chapter
Review
6a
Graph should be replaced by a screen (and window settings):
Mid-Chapter
Review
6.4
6.5
6.5
6c
axis: P = 0; the average position is 0° with respect to due west
2d
1abcd
1e
6.5
4
6.5
6.5
7d
7f
6.5
6.5
6.5
6.5
8c
8d
10
11
Remove: horizontal translation of –30°;
Add the words: in any order
Add the words: in any order, as long as the horizontal translation
is after the horizontal stretch
Add the words: Order may vary, as long as any horizontal
translations are after any horizontal stretches or compressions
and any vertical translations are after any vertical stretches or
compressions.
The 335° on the x-axis should be replaced by 360°
Graph should extend to (–12.4, 720). Replace these: “6” has
been dropped from 360 on x-axis and –16 on y-axis
Change X max to: 4°
Switch Y min and Y max values.
Add: Answers may vary. For example,
6.6
6.6
6.6
6.6
6.6
6.6
6.6
1
3
4
5b
5c
7
8a
6.6
8b
6.6
6.6
6.6
8d
9c
9e
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Reflection in x-axis, vertical compression of , vertical
.
translation of 30 upward, horizontal compression of
Add: Answers may vary. For example,
Add: Answers may vary. For example,
Add: Answers may vary. For example,
y = –4cos(0.5x) + 17
y = 3sin(1.5x) – 4
Add: Answers may vary. For example,
Graph should be horizontally shifted so that it runs from
0 to 11 months. Also, graph should show data points listed so it
represents a scatter plot with a line of good fit drawn.
A sinusoidal model can be used because the data is waveshaped.
Answers may vary. For example, 8.1° or 10.3° using the chart.
The fit is somewhat close.
Answers may vary. For example, 0.8 s and 2.2 s from model or
0.6 s and 2.4 s interpolating from the chart.
15
6.6
10a
Graph should show sinusoidal curves drawn to represent these
points.
6.6
10c
6.6
6.6
6.6
6.7
11a
13
14
1d
6.7
6.7
6.7
6.7
6.7
6.7
6.7
6.7
6.7
6.7
2e
3
4c
5a
5b
6ae
7
8a
9a
10
6.7
6.7
11
12
6.7
Chapter
Review
13a
9a
Latitude affects average temperature as well as maximum and
minimum temperatures.
y = 3 sin(9000t)° + 8
59.8 cm
h = 7 cos(22.74t)° + 8, t in seconds, h in metres
The range is correct. For the equation, change to: d = 0.5
sin(180t)° + 1.5
Add: Answers may vary. For example,
Add: Answers may vary. For example,
Add: Answers may vary. For example,
Add: Answers may vary. For example, d = 30 cos[18(t – 12)]
Add: Answers may vary. For example, d = 9 cos[18(t – 12)]
Add: Answers may vary. For example,
Add: Answers may vary. For example,
Add: Answers may vary. For example,
Add: Answers may vary. For example, h = –30 cos(1.43d) + 40
The periods are the same. The rabbit population has a higher
average value and amplitude. The fox population increases when
the rabbit population is above average and decreases when the
rabbit population is below average.
The period, amplitude, location of the axis, and horizontal shift.
Add: Answers may vary. For example, assuming the paint drop
started at the lowest point
Add: Answers may vary. For example,
Graph should be extended to 360°.
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16
Chapter
Review
9b
Graph should be replaced with the graph below but with the
degree symbol for 90°, 180°, 270°, and 360°, x on the horizontal
axis, and f(x) on the vertical axis.
Chapter
Review
Chapter
Review
Chapter
Review
Chapter
Review
Chapter
Review
11a
11g
Graph should show data points listed so it represents a scatter
plot with a line of good fit drawn.
Add: Answers may vary. For example,
11h
Change February to: March
13f
Add: Answers may vary. For example,
To determine the equation of a sinusoidal function, calculate the
period, amplitude, equation of the axis, and horizontal
translation. This information will help you to determine the
values of k, a, c, and d, respectively, in the equations g(x) = a
sin(k(x – d)) + c and h(x) = a cos(k(x – d)) + c.
Chapter Self- 1f
No. Since the period is 40 s, at 300 s the stair will be at the same
Test
level as it is at 20 s, which is 4 m.
Chapter 7: Discrete Functions: Sequences and Series
Location
Question Correct Answer
7.1
14
Add: Answers may vary. For example,
7.2
15
Add: Answers may vary. For example,
7.2
22
Add: about
7.3
1
Change “Yes,” to: Yes, for n > 2,
7.4
2a
1+ 5
; the positive root r =
approximates the ratio
2
7.4
MidChapter
Review
14
3b
4f-ii
2009 Nelson Education Ltd.
of
as n increases
Add: about
change recursive formula (leave general term and t6 = …):
, where n > 1
17
MidChapter
Review
MidChapter
Review
7.5
7.6
7.6
5b-i
Change “geometric” to: neither
10b
t1 = 3, t2 = 2, tn = tn-2 + tn-1, where n > 2
8a
3e
18b
Add: where n > 2
For both, change = to: =&
Using
7.7
4e
(
2+ 3
,
)
6
. As n approaches infinity,
.
= 8 x 6 + 24 6 x 5 + 180 x 4 + 120 6 x 3 + 270 x 2 + 54 6 x + 27
7.7
5e
Trailing + should be – (i.e. “+ …” to “– …”)
Chapter
22e
Add: about
Review
Chapter
8b
p6+ 6q, p7 – 7q, p8 + 8q
Self-Test
Chapter 8: Discrete Functions: Financial Applications
Location
Question Correct Answer
Getting Started
8
Add: Answers may vary. For example,
8.1
10c
24 years and 158 days
8.2
9
Plan B: Plan A = $1139.99, Plan B = $1049.25
8.2
16
$4534.14
8.2
17
Answers may vary slightly depending on rounding. For
example, $3427.09 or $3427.08
8.3
15
Answers may vary slightly depending on rounding. For
example, $1695.15 or $1695.16
Mid-Chapter
5
about 11 years and 5 months
Review
8.4
5d
Answers may vary slightly depending on rounding. For
example, $57 347.06 or $57 347.07
8.4
8
about 5 years and 9 months
8.4
11
Add: Answers may vary. For example;
8.4
12b
Answers may vary slightly depending on rounding. For
example, $918.87 or $918.30
8.4
13
Answers may vary slightly depending on rounding. For
example, $924.32 or $924.31
2009 Nelson Education Ltd.
18
8.5
13
$19 070.96
8.6
1a
Add "about": about 12 years
8.6
1b
Add "about": about 7 years
8.6
1c
Add "about": about 19 years
8.6
1d
Add "about": about 8 years
8.6
4b
about 5 years and 5 months
8.6
4c
$53 154.40
Chapter Review 2c
Add "about": about 18 years and 6 months
Chapter Review 12
about 12 years and 3 months
Chapter Review 19
Add "about": about 4 years
Chapter Self5
5.88%/a compounded monthly. This is equivalent to 6.04%/a
Test
compounded annually
Chapter Self7
Answers may vary slightly depending on rounding. For
Test
example, $201.01 or $205.30
Chapters 7–8 Cumulative Review
Location
Question Correct Answer
Cumulative
12
(d)
Review Chapters
7–8
Cumulative
18c
Change right-hand column head from C to: D
Review Chapters
7–8
Cumulative
17
Add "about": about 5.4 h
Review Chapters
7–8
Appendix A – Review of Essential Skills
Location
Question Correct Answer
A–5
2a
Replace graph, exactly the same scales, grid, and labels as
before, but redrawing blue line (which is y = 3x – 1), slope of 3,
y-intercept –1:
A–6
3e
2009 Nelson Education Ltd.
⎛ 9 28 ⎞
⎜− , ⎟
⎝ 11 11 ⎠
19
A–6
3f
A–9
A–14
A–14
A–14
A–16
A–17
A–17
A–17
A–17
A–17
A–17
A–17
3c
2c
2d
3d
5d
2a
2c
2d
2f
3a
3b
3c
2009 Nelson Education Ltd.
⎛1 5⎞
⎜ , ⎟
⎝2 2⎠
(5a – 3)(a + 2)
(–2, 1)
(–5, 4)
y = –x2 – 2
24.3°
16.0°
Add unit cm: 23.4 cm
Add unit cm: 13.2 cm
Add unit cm: 30.3 cm
t =& 6.1 cm, ∠ A =& 74°, ∠ C =& 47°
∠ A =& 34°, ∠ B =& 42°, ∠ C =& 104°
∠ F =& 32°, ∠ E =& 109°, DF =& 25.8 cm
20