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Worksheets

Proportional Relationships

Total questions: 15

Worksheet time: 39mins

Name
Class
Date
1.

What is the value of x in the proportion 912=6x\frac{9}{12}=\frac{6}{x} ?

a)

8

b)

10

c)

12

d)

18

2.

Trevor bought 5 packages of cake mix for $32.50. How much would 8 packages of cake mix cost?

a)

$60.00

b)

$48.00

c)

$52.00

d)

$39.00

3.

Inessa ran 3 laps in 10 minutes. How long would it take her to run 5 laps at this pace?

a)

1 12\frac{1}{2} min

b)

15 min

c)

16 23\frac{2}{3} min

d)

20 min

4.

Which pairs of figures have a scale factor of 2 : 5. Select all that apply.

a)
b)
c)
d)
e)
5.

Which graphs show a proportional relationship? Select all that apply.

a)
b)
c)
d)
e)
6.

What is the constant of proportionality?

a)

1/3

b)

3

c)

6

d)

It is not proportional

7.

Which equation models the proportional relationship shown?

a)

y = 6x

b)

y = 4x

c)

y = 3x

d)

y = 2x

8.

Which equations are direct variation equations. Select all that apply

a)

y = 3x

b)

y = 7/x

c)

y = 5x2

d)

y = x/9

e)

y = 5/4 x

9.

What is the constant of proportionality: y= 0.6x ?

a)

10

b)

6

c)

3/5

d)

1/10

10.

Which ratios are proportional to 104\frac{10}{4}  ?

a)

 25\frac{2}{5}  

b)

 52\frac{5}{2}  

c)

 156\frac{15}{6}  

d)

 14\frac{1}{4}  

11.

Greg bought four roses for $12.80. If the cost per rose is constant, how much would 9 roses cost?

a)

$16.00

b)

$3.20

c)

$25.60

d)

$28.80

12.

Mia ran 10 laps in 6 minutes. Shawna ran 5 laps in 4 minutes. Which person ran at a faster rate? Justify your answer with math.

a)

Mia: 0.6 min per lap

b)

Shawna 0.8 min per lap

c)

Mia 1.6 min per lap

d)

Shawna 1.25 min per lap

13.

Is the table proportional? If so, find the constant rate of proportionality. Select all that are appropriate.

a)

No

b)

Yes

c)

15\frac{1}{5}

d)

5

e)

Not Proportional

14.

Is the table proportional? If so, what is the constant rate of proportionality. Select each appropriate answser.

a)

No

b)

Yes

c)

6

d)

4

e)

Not proportional

15.

Joe says the graph is y = 4x. Beth says it's y = 14\frac{1}{4} x. Who's correct? Why?

a)

Joe: r is 4 because 41\frac{4}{1} = 4

b)

Beth: r is 14\frac{1}{4}  because 28\frac{2}{8}  =  14\frac{1}{4}  

c)

Joe because  82\frac{8}{2}   = 4

d)

Beth because   14 =14\frac{1}{4\ }=\frac{1}{4}