Ratios
Proportions
Unit Rates
Fraction Unit Rates
Proportional Relationships
100

Simplify this Fraction:

8/14

4/7

100

Solve for x:

5/8 = x/64

x = 40

100

Sam makes 27 calls in 9 hours at work. What is her unit rate? 

3 calls per 1 hour

100

Find the unit rate:

4 miles per 1/4 hour

16 miles per 1 hour

100

The equation for a line that is proportional is written in the form....

y=kx

200

Simplify this Fraction:

32/48

2/3

200

Solve for x:

16/24 = x/27


x= 18

200

Nick buys yarn at the store. 21 yards costs $42. 

A: Find the unit price. 

B: Calculate the cost of 35 1/2 yards of yarn.

A: $2 per yard

B: $71

200
Find the unit rate:


1/4 feet per 5/6 minute

3/10 feet per 1 minute

200

Another name for the constant of proportionality is..

Unit Rate!

300

In Mr. Bloch's math class there are 9 girls and 12 boys. What is the ratio of girls to total students?

3:7

3/7


300

Solve for x:

9/4 = x/1

x= 9/4 or 2_1/4

300

Lana bought 5 chocolate bars for $3.70. 

A: Find the unit price. 

B: Calculate the cost of 12 chocolate bars.

A: $0.74 per 1 chocolate bar. 

B: $8.88 

300

It takes Paul 2 1/2 hours to mow 3/4 of his lawn. How long does it take him to mow his entire lawn?

3 1/3 hours to mow the whole lawn.

300

Is this a proportional relationship? If yes, what is k? If no, why not?

  y

1   4

3   15

4   20

No because the ratios are not the same.

400

In Mrs. Rich's class there are 9 girls and 24 boys. What is the ratio of boys to total students?

8:11

8/11



400

For every 3 chocolate chip cookies that Mrs. Sieracki bakes, she bakes 2 oatmeal raisin cookies. If she bakes 80 oatmeal raisin cookies, how many chocolate chip cookies did she bake? 

120 Chocolate Chip Cookies

400

Your family went on a road trip  and traveled 486 miles. It took your family 9 hours to get there. How many hours would it take to drive 1,755 miles? 

32.5 Hours

400

James can walk 2/3 of a mile in 1/6 of an hour. How far can James walk in 1 hour?

James can walk 4 miles in 1 hour.

400

The point (3, 10) is on the graph of a proportional relationship. What does y equal when x equals 4.8.

y = 16

500

In Mr. Zuehls' Area Studies class, there are 14 boys and 18 girls. If Mr. Zuehls has 8 textbooks, what is the ratio of books to total students?

1:4

1/4

500

The ratio of cats to dogs in the shelter is 5 to 3. If there are 48 dogs, how many cats are there?

80 Cats

500

You took a family trip to the mountains and traveled 486 miles. It took 18 gallons of gas to get there. How many gallons would it take to drive 500 miles? 

(Round to the nearest 10th)

18.5 gallons of gas

500

Sam rode her bike 2/7 of a mile in 5/6 of an hour. How long will it take Sam to ride 1 mile?

35/12 hours 

or

 2 11/12 hours

500

The relationship between a puppy's age and weight are proportional. At 3 months, the puppy weighs 25.8 pounds. If the puppy weighs 38.75 pounds, how old is it? (Round to the nearest 10th)

4.5 months old