Unit 4: Ratios and Proportions

Question 1

A dessert recipe calls for 2 1/2 cups of milk and makes 4 servings. How many cups of milk are needed for 6 servings?

Answer 1

3.75 or 3 3/4

Question 2

Sally walked 9 miles in 2 hours. Joe walked 12 miles in 4 hours. Are these rates in proportion? Was Sally’s rate greater or less than Joe’s rate?

Answer 2

No, Sally’s rate was greater

Question 3

David can buy 4 CD’s for $60 or 6 CD’s for $75. Which is the best buy and what is the unit rate?

Answer 3

6 CD’s for $75; $12.50 unit rate

Question 4

Leyla works as a holiday helper and worked 15 hours last week and earned $108.75. At that rate, how much will she earn if she works for 18 hours?

Answer 4

$130.50

Question 5

Write a proportion that could be used to solve this problem: The proportion of blue marbles to yellow marbles in a jar is 4 to 6. If there are 35 blue marbles in the jar, how many yellow marbles are there?

Answer 5

4/6 = 35/x

Question 6

Which pair of ratios does not form a true proportion?
        A) 4:8 and 5:10 
	B)  8 to 32 and 6 to 24
	C)  6/8=3/4
	D) 12:36 and 30:50

Answer 6

D

Question 7

What value of x makes this proportion true?

2.3/x = 1.2/4.5

Answer 7

8.625

Question 8

Does the following table represent proportional relationships?

x 0 2 4
y 0 8 16

Answer 8

Yes

Question 9

Does the following tables represent proportional relationships?

Movies per week (x) 4 5 7 8
Cost $ (y) 11 13.75 19.25 22

What is the constant unit rate?

Answer 9

$2.75

Question 10

For which statement is the constant of proportionality equal to 6?
A) Linda lost 6 pounds in 6 weeks
B) Mike drove 300 miles in 6 hours
C) There are 90 people in 10 rows at the play
D) There are 60 books on 10 shelves

Answer 10

D

Question 11

What is the equation for the table below?

(x) 0 5 10 15
(y) 0 1 2 3

Answer 11

y = 1/5x

Question 12

The scale of a map is 1 1/4 inches = 50 miles. On the map, two rivers are 4 1/8 inches apart. What is the actual distance of between the two rivers?

Answer 12

165 miles

Question 13

A model of a skyscraper is made using a scale of 1 inch: 55 feet. What is the height of the actual building if the height of the model is 12 inches?

Answer 13

660 ft

Question 14

Doug made a drawing of his rectangular bedroom with the scale 1 inch = 5 feet. The drawing was 7 inches long by 5 inches wide. What was the actual area of Doug’s room?

Answer 14

875 ft