Review for Unit 1 Test
The dry cleaning fee for 3 pairs of pants is
$18.
• What is the constant of proportionality?
• How much will the dry cleaner charge
$ 66.00
for 11 pair of pants?
Activity #1
Workbook Page 42
Problem #1
There are 3 cans that store 9
tennis balls.
a. What is the C.O.P?
b. Write an equation for the
situation.
Problem #1
There are 3 cans that store 9
tennis balls.
a. C.O.P. = 3
b. B = 3C
Problem #1
In 25 minutes, Li can run 10
laps around the track.
a. What is the C.O.P?
b. Write an equation for the
situation.
Problem #1
In 25 minutes, Li can run 10
laps around the track.
a. C.O.P = 0.4
(laps per min)
b. L = 0.4M
OR
a. C.O.P. = 2.5
(min per lap)
b. M = 2.5L
Which makes more sense?
Problem #2
Jennifer is shopping with her
mother. They pay $2 per
pound for tomatoes at the
vegetable stand.
a. What is the C.O.P?
b. Write an equation for the
situation.
Problem #2
Jennifer is shopping with her
mother. They pay $2 per
pound for tomatoes at the
vegetable stand.
a. C.O.P = 2
b. C = 2P
Problem #3
It cost $5 to send 6 packages
through a certain shipping
company.
a. What is the C.O.P?
b. Write an equation for the
situation.
Problem #3
It cost $5 to send 6 packages
through a certain shipping
company.
a. C.O.P = 0.83
($ per package)
b. C = 0.83P
OR
a. C.O.P. = 1.2
(packages per $)
b. P = 1.2d
Which makes more sense?
Each problem is proportional. Write an
equation for each.
b. x y c. Julia is shopping.
a.
5
4
3
2
1
-5 -4 -3 -2 -1
-1
-2
-3
-4
-5
1
2
3
4 5
-1
0
1
-4
0
4
2
8
She finds a sale
that has 5 t-shirts
for $15.
Name That Point!
What does
(4,40)
mean?
What is the
C.O.P?
10
Plant Production
Name That Point!
What does
(10, 2.5)
mean?
What is the
C.O.P?
1
4
Name That Point!
What does
(15, 60)
mean?
What is the
C.O.P?
4
Name That Point!
What does
(30, 15)
mean?
What is the
C.O.P?
1
2
Determine if the equations are proportional.
Proportional
Non-Proportional
y= 2x – 4
y= x + 3
y= 2x + 12
y= -3x
y=
1
2
x
y= -7 + x
y= x – 4
y= 17x
Does this relationship show constant
proportionality? How do you know?
x
Time (hrs)
2
6
8
2.5
7
10
2
12
6
16
8
5
2.5
14
7
y
Snowfall (in)
=5
10
=2
12
=2
16
5
=2
14
=2
𝒚
𝒙
Does this relationship show constant
proportionality? How do you know?
x
Number of days
6
9
24
3
2
6
3
9
8
24
1
3
1
3
1
1 3
3
1
3
y
Cost ($)
2
3
8
1
1
𝑦= 𝑥
3
𝒚
𝒙
Does this relationship show constant
proportionality? How do you know?
x
Pounds
5
4
6
8
10
10
5
=2
8
4
=2
12
6
=2
16
8
=2
20
10
=2
y
Cost
10
8
12
16
20
Y = 2x
𝒚
𝒙
Randy is planning to drive from New Jersey to
Florida. He recorded the distance traveled
and the total number of gallons of gas used
every time he stopped for gas.
Gallons (x)
2
Miles
54
(y)
4
96
7
8
189
216
10
270
12
324
𝒚
HINT: Find the constant rate!
𝒙
𝟓𝟒
= 27
𝟐
𝟐𝟏𝟔
= 27
𝟖
Constant rate is 27