Unit Rate
Proportions
Solving Proportions
Constant of Proportionality
Word Problems
100

410 miles in 16 gallons

What is 25.63 miles/gallon

100

Do each pair of ratios form a proportion? 2/3 and 6/9

What is Yes. (18 = 18)

100

n/12 = 6/18

What is n = 4

100

x  y

3  9

5  15

6  18

K = 3

100

ulie was able to walk 16 miles through the park in 6 hours. How long will it take her to walk 24 miles through the park?

What is 9 hours

200

1500 words in 25 minutes

What is 60 words per minute

200

Do the ratios form proportions? 5/4 and 25/16

What is No (80;100)

200

c/28 = 5/7

What is c = 20

200

x  y

2  16

3  24

5  40

k = 8

200

The ratio of vanilla pudding to chocolate pudding in a banana split pie is 4 to 3. Olivia has 64 oz of vanilla pudding. How much chocolate pudding does she need?

What is 48 ounces.

300

$1.12 for 8.2 ounces

What is $.14 per ounce

300

Do the ratios form proportions? $8/20 lbs and $24/60 lbs

What is Yes (480 = 480)

300

2/x = 7/9

What is x = 2.57

300

x  y

4  24

6  ?

8  48

What is the missing value in the table.

36

300

If there are 1200 calories in an 8 oz piece of cheesecake, how many calories are in a 3 oz piece of cheesecake?

What is 450 calories

400

Which is the better buy? $3.29 for a 16-ounce bag of candy $2.99 for a 12-ounce bag of candy

What is $3.99 for 16-ounce bag = $0.21 per ounce

400

Do the ratios form proportions? 5 ft/7 s and 25 ft/ 49 s

What is No

400

30/14 = k/1.54

What is k = 3.3

400

x  y

9  18

25  50

19  38

Write the constant of Proportionality as an equation

y = 2x

400

Annie bought 3 bags of special candy for $1.20. How much do 8 bags of candy cost?

What is $3.20

500

Ethan can buy 4 CDs for $71.96 at CD Express or 9 CDs for $134.55 at Music Rox. Which has the better unit cost? How much is he saving per CD?.

What is Music Rox has the better buy (14.95 per CD). Ethan saved $3.04 per CD

500

Do the ratios form proportions? 21 mi/6 h and 14.3 mi/ 3 hr

What is No

500

380/520 = 760/x

What is x = 1040

500

x  y

4   2

8   4

20  10

k = 1/2

500

The moats separating the people from the animals are 15 m wide for bears and 7 m wide for leopards. If the bears' moats is 4 m deep, how deep should the leopards' moat be?

 What is 1.67 m for the leopards