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6.1: Constant of Proportionality

Total questions: 50

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 1/2x

b)

x = 1/2y

c)

y = 2x

d)

k = x

2.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 30k

b)

y = 30x

c)

y = 0.03x

d)

y = 9x

3.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 33x

b)

y = 0.003x

c)

x = 33y

d)

33k

4.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

33

b)

y = 1/3x

c)

y = 33x

d)

y = 33

5.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

15k

b)

x = 15y

c)

y = 0.06x

d)

y = 15x

6.

k represents

a)

the constant of proportionality

b)

the king

c)

ketchup

d)

a strikeout

7.

Which equation matches the constant of proportionality?

a)

x = y

b)

y = x

c)

y = kx

d)

l x w

8.

Which equation helps you solve for k?

a)

k = x/y

b)

k = y/x

c)

k = y + x

d)

k = 2x

9.

Which equation is NOT proportional?

a)

y = 2x - 3

b)

y = 150x

c)

y = 1/2x

10.

Select ALL equations that are proportional.

a)

y = 3x

b)

y = 25x

c)

y = 7x

d)

y = 2x - 1

e)

y = 4000x

11.
What is the constant of proportionality?
a)
3
b)
4
c)
2
d)
5
12.
A recipe calls for 3/4 cup of brown sugar for every 3 eggs. What is the unit rate of eggs per cup? 
a)
1 cup per egg
b)
2 cups per egg
c)
3 eggs per cup
d)
4 eggs per cup
13.
Find the unit rate of 624 calories in 3 servings.
a)
1,872 calories per serving
b)
208 calories per serving
c)
624 calories per serving
d)
621 calories per serving
14.
What is the constant of proportionality for this table?
a)
$1/9 per hour
b)
$9 per hour
c)
$8 per hour
15.
A box of cereal cost $3.59 for 30 oz. How much is the unit rate per ounce? Round to the nearest cent.
a)
11 cents
b)
12 cents
c)
13 cents
d)
10 cents
16.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
17.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
18.
What was Brian's unit rate?
a)
3/2 word per minute
b)
30 minutes per word
c)
60 minutes per word
d)
30 words per minute
19.
Ben drinks tea at a relatively quick rate.  He drinks 1/2 liter of tea every 2/3 of an hour.  How much tea does Ben drink per hour?
a)
1 and 1/3 of an hour per liter
b)
3/4 of a liter per hour
c)
1 and 1/3 liter per hour
d)
3/4 of an hour per liter
20.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

21.

Identify the constant of proportionality.

a)

k = 6

b)

k = 12

c)

k = 1/6

d)

k = 1/12

e)

none (not proportional)

22.

Identify the constant of proportionality.

a)

k = 2

b)

k = 3

c)

k = 1.50

d)

k = 2/3

e)

none (not proportional)

23.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

24.

The constant of proportionality of this graph is k = 45. What does it mean?

a)

The boat travels for 45 miles for every 45 hours

b)

The boat travels 1 mile for every 45 hours

c)

The boat travels 45 miles for every 1 hour

d)

The boat travels 1/45 mile for every 1 hour

25.

Write an equation that represents the relationship between the weight(x) and the cost(y).

a)

y = 1/2 x

b)

y = 1/4 x

c)

y = 2x

d)

y = 4x

26.
Write an equation for the proportional relationship in the table.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
27.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2
28.
Determine the missing value in the table.
a)
15
b)
3
c)
1/3
d)
9
29.
What is the constant of proportionality? 
a)
45 mph
b)
90 mph
c)
135 mph
d)
2 mph
30.
What is the constant of proportionality? 
a)
4
b)
1/4
c)
8
d)
1/8
31.

What is the constant of proportionality for this table?

a)

$1/9 per hour

b)

$9 per hour

c)

$8 per hour

d)

$18 per hour

32.
What is the constant of proportionality for the following graph?
a)
80
b)
20
c)
40
d)
160
33.

Does this graph show a proportional relationship?

a)

Yes

b)

No

34.

What makes a graph proportional?

a)

Linear (straight line), that does NOT go through the origin.

b)

A straight line (linear) that goes through the origin

35.

What is the ordered pair that represents the unit rate?

a)

(1, 15)

b)

(15, 1)

c)

(4, 60)

36.

Does this graph show a proportional relationship?

a)

Yes

b)

No

c)

Sometimes

37.

Which graph shows a proportional relationship?

a)
b)
c)
d)
38.

Which tables and graphs show a proportional relationship?

a)

A,C,F

b)

B,D,E

c)

B,C,F

d)

A,B,D

39.

Which table shows a proportional relationship between the distances on a map and the actual distances?

a)
b)
c)
d)
40.

Albert wants to buy some pens. He compares 4 different packs of pens. Which two packs of pens have the same cost per pen?

a)

Packs 1 and 2

b)

Packs 1 and 3

c)

Packs 2 and 4

d)

Packs 1 and 4

41.

What is the constant of proportionality for the line on the graph below?

a)

2

b)

1

c)

-1

d)

12\frac{1}{2}

42.

The graph shows the distance a train travels over time. How fast is the train traveling?

a)

25 miles per hour

b)

90 miles per hour

c)

50 miles per hour

d)

45 miles per hour

43.

The table shows how much a store charges for a certain number of bananas. Which equation could be used to find cost, c, of any number of bananas, b?

a)

c = $0.09b

b)

c = $0.19b

c)

c = $0.38b

d)

c = $0.57b

44.

Use the table to write an equation that relates lunch cost L and number of riders n.

a)

L = $0.50n

b)

L = $4.00n

c)

L = $6.00n

d)

L = $8.00n

45.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 1/2x

b)

x = 1/2y

c)

y = 2x

d)

k = x

46.

k represents

a)

the constant of proportionality

b)

the king

c)

ketchup

d)

a strikeout

47.

Which equation matches the constant of proportionality?

a)

x = y

b)

y = x

c)

y = kx

d)

l x w

48.

Select ALL equations that are proportional.

a)

y = 3x

b)

y = 25x

c)

y = 7x

d)

y = 2x - 1

e)

y = 4000x

49.
The constant of proportionality can be found by finding the __________  _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
50.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2

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