Date:
Name:
43
9 Applied Mid Term Review Part 2
1. Plot the following data on the chart below:
% of
41
Population
that
smokes
year
50
37
32
25
21
17
14
9
5
3
55
60
65
70
75
80
85
90
95
50
Percentage
that smokes 40
30
20
10
1950
1960
1970
1980
2000
1990
Year
a)
b)
c)
d)
e)
Plot the points on the graph to make a scatterplot
Draw a line of best fit through the points
Is the trend positive or negative?_____________
Is the weak, moderate, or strong?_______________
Describe the trend in words.
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2. Determine the slope for each line segment by counting steps.
A
y 3
2 D
1
0
-5 -4 -3 -2 -1 0 1 2
-1
E
-2
B
-3
C
A
B
C
D
3x
E
5
3. Convert the following statements to equations, and state whether it is direct or partial variation
a) Your pay (P) is $75/hour (H) plus a bonus of $500.
Equation:______________________
Direct or Partial:_______________________
b) The temperature (T) is 15OC at noon, and drops by 4 degrees every hour (H).
Equation:______________________
Direct or Partial:_______________________
c) The distance (D) driven at 80km / h (H)
Equation:______________________
Direct or Partial:_______________________
d) A car costs $15,000. Every year after it was purchased, its value decreases by$2000.00.
Equation:______________________
Direct or Partial:_______________________
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13
4. Suppose you get a job at McDonald’s for $8.00 / hour.
a) Complete the table:
Pay
Hours
0
1
2
3
4
b) Write an equation to relate the two variables:
Pay
P = ___________
5
32
24
16
8
c) Graph the relationship:
1
2
3
4
hours
5. The following represents a race between a car, a truck, and a van
700
T
C
600
500
Distance
in km 400
V
300
200
100
0 1
2
3
4
5
6
7
Time in hours
a) What is the initial distance of the Car?___________
b) Estimate the time when the truck finally passes the car?___________
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c) Will the van ever catch the car?___________
d) Will the van ever catch the truck?_____________
e) Which one is an illustration of partial variation?_______________
f) If the race were to last 240 hours, determine the finish order:
1st:
2nd:
3rd:
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6. Use first difference to determine whether each relation is linear. Explain in 1 sentence.
a)
x
0
1
2
3
4
y
-5
0
5
10
15
FD
2
_______________________________________________________________________
b)
x
0
1
2
3
4
y
2
4
8
16
32
FD
2
________________________________________________________________________
7. The table shows the mass of propane fuel remaining in a barbecue tank
Time(h)
Mass(kg)
0
10.0
1
9.4
2
8.8
3
8.2
4
7.6
5
7.0
10
b) Graph the relation
c) State the slope and the vertical intercept of the graph.
What do they represent?
Mass
5
7
d) Write an equation for the mass
of the propane fuel in terms of time:
1
2
3
4
Time
5
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