Unit Rates
Solving Proportions
Proportional Word Problems
Proportional Tables
Proportional Graphs
100

A car travels 60 miles in 3 hours. Find the car's speed in miles per hour.

20 miles per hour

100

Solve for x:

3/8 = x/16

x=6

100

You can complete 20 math problems in 15 minutes. How many math problems could you do in 30 minutes?

40 math problems

100

Is the table below proportional? If yes, what is the Constant of Proportionality (k)? If no, why not?

Yes; k = 6

100

What are the two things needed for a graph to be proportional?

1. Straight Line

2. Passes through the origin (0,0)

200

A flower grows 42 cm in 5 months. How much does the flower grow per month?

8.4 cm per month

200

Solve for x:

7/11=21/x

x=33

200

A car travels 240 miles in 4 hours. At this rate, how far could the car travel in 6 hours?

360 miles

200

Is the table below proportional? If yes, what is the Constant of Proportionality (k)? If no, why not?


No 

(14 div 12 ne 1.5)

200

Is this graph proportional? If yes, what is the Constant of Proportionality (k)?

Yes; k = 2

300

You buy 12 donuts for $13.26. What is the cost per donut?

$1.11 per donut

300

Solve for x:

5/x = 60/24

x=2

300

It takes 5 cups of sugar to make a batch of 24 cookies. How many cookies can I make with 8 cups of sugar?

38.4 cookies

300

The table below is proportional. Find the Constant of Proportionality (k) and use it to write an equation in the form  y=kx 

k=3

y=3x

300

Is this graph proportional? If yes, what is the Constant of Proportionality (k)?


Yes; k = 5

400

I can jog ¾ of a mile in ⅓ of an hour. What is my speed in miles per hour? (Write your answer as a mixed number)

2¼ miles per hour

400

Solve for x:

x/20=2/8

x=5

400

To make a sweater, I need 15 spools of yarn. The fabric store is having a sale: 4 spools of yarn for $12.60. How much would it cost to make my sweater?

$47.25

400

Is the table below proportional? If yes, what is the Constant of Proportionality (k)? If no, why not?


Yes; k = 2.5

400

Use the proportional graph below to find the Constant of Proportionality (k) and write an equation in the form  y=kx 


k=2

y=2x

500

Car A travels 424 miles in 8 hours.

Car B travels 392 miles in 7 hours.

Find each car's speed (in miles per hour) and find how much faster Car B is traveling compared to Car A.

Car A: 53 mph

Car B: 56 mph

Car B is traveling 3 miles per hour faster than Car A.

500

Solve for x:

14/21 = 7/x

x=10.5

500

It costs $178.26 to cater lunch for 20 people. How much would it cost to cater lunch for 50 people?

$445.65

500

The table below is proportional. Find the Constant of Proportionality (k) and use it to write an equation in the form  y=kx 

k=35.5

y=35.5x

500

Use the proportional graph below to find the Constant of Proportionality (k) and write an equation in the form  y=kx 


k = 1/6 or 0.1bar6

y=1/6x or y=0.1bar6x