Constant of proportionality
Unit Rate
Unit Rate $
Proportional relationships
Circumference and Area
100

x   y

3   9

5   15

6 18 

constant of proportionality = 3

100

This is the unit rate for driving 100 miles in 2 hours.

What is 50 mph?

100

This is the unit price for 4 lbs of oranges costing $12

What is $3 per pound?

100
If 5 apples cost $2, this is how much would 25 apples cost.
What is $10?
100

What is the formula for finding the circumference of a circle

diameter times pi

200

x   y

2   16

3   24

5   40

constant of proportionality = 8
200
This is the unit rate for running 100 m in 10 seconds.
What is 10 meters/sec?
200

This is the unit price for 6 lbs of grapes costing $18.

What is $3.00 per pound?

200
If 3 pencils cost $1, this is how much would 15 pencils cost.
What is $5?
200

What is the formula for finding the radius of a circle

pi times radius squared

300

x   y

4   24

6   36

8   48

constant of proportionality = 6


300
This is the unit rate for driving 210 miles in 3 hours.
What is 70 mph?
300

This is the unit price for 2 lbs of turkey costing $8.

What is $4 per pound?

300
If 12 bananas cost $20, this is how much would 3 bananas cost.
What is $5?
300

Ms. Guebarra's dog, Peanut, has a doggie bed that is 18 inches across. What is the exact area of Peanut's doggie bed?

9 pi squared

400

x   y

9   18

25  50

19  38

constant of proportionality = 2

400
This is the unit rate for running 5 Km in 20 minutes.
What is 0.25 Km per minute?
400
This is the unit price for 2.5 lbs of ketchup costing $5.00.
What is $2.00 per pound?
400

If 2 watermelon cost $2.50, this is how much would 6 watermelons cost.

What is $7.50

400

Mr. Bjerke likes to jump on his trampoline. From the center point of the trampoline to any outer edge, it 21 feet. What is the exact circumference of Mr. Bjerke's trampoline?

42 times pi

500

x   y

4   2

8   4

20 10

constant of proportionality = 1/2

500
This is the unit rate for driving 500 miles in 3.5 hours.
What is 142.8 mph?
500
This is the unit price for 3.5 lbs of mixed nuts costing $9.99.
What is $2.85 per pound?
500

If your average speed is 36mph, how far would you travel in 4 hours?

What is 144 miles?

500

Ms. VanWinkle's circular garden has an area of 36 pi square yards. What is the diameter of her garden?

12 yards

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