Constant of Proportionality
Percents
Ratios
Proportions
Circles
100

Is this a proportional relationship? Why or Why Not?

Y = 3x + 7

100
Eight is 5% of what number?
160
100
Skyzone sells tickets for their jump area. You buy a ticket for 4 hours and it costs $24. How much are you paying per hour to jump?
$6
100

Solve for n

8/n = 24/30

n=10

100
The radius of a circle is 28cm. What is the circle's diameter?
56cm
200

List 2 attributes of a proportional relationship:

Constant Rate, straight line, goes through origin..

200
Amanda got a 21/28 on her test. What is her percent score?
75%
200
What is the unit rate of the ratio 6:42 (6/42)?
1:7 or 1/7
200

Scott likes to run long distances. He can run 20 km, t in 85 minutes. He wants to know how many minutes it will take him to run 52 km at the same pace.

221 minutes or 3 hours and 41 minutes

200
The radius of a circle is 12in. What is the area of the circle?
144pi in.
300

Charlie gets paid on the weekend for helping Farmer John. He saves all the money he makes. On Friday, Charlie has $17.50 in his bank account. On Saturday, he has $35. On Sunday, he has $51.50. Is this a proportional relationship?

 No, because it is not a constant rate.

300
What is 25% of 60?
15
300
Blake is able to get 27 miles on 1 tank of gas. How many miles can Blake travel on 6 tanks of gas?
162 miles
300

Vito uses 9 liters of water to water 24 flower pots. He is wondering how many liters of water (w) would take to water 40 flower pots. He assumes he'll use the same amount of water on each pot.

15 liters of water

300
The radius of a circle is 16cm. What is the circle's circumference?
32pi cm
400

What is the constant of proportionality?

X| 4,   5,   6,   7,  10

Y| 16, 20, 24, 28, 40

COP: 4

400
A restaurant bill comes to $34.60. You decide to leave an 15% tip. What is the total cost of the bill?
$39.79
400
A toy company can produce 9 toys in 3 hours. How many toys can they produce in 24 hours?
72 toys
400

Mary reduced the size of a painting to a width of 3.3 in. What is the new height if it was originally 32.5 in tall and 42.9 in wide?

2.5 in

400
The diameter of a circle is 14ft. What is the circle's area?
49pi ft
500

Write an equation for this proportional relationship:


X|    7,  10,  14,   16,  30

Y|  3.5,   5,   7,    8,   15

y = 1/2 x 

500
Kim bought a hat in California. The hat cost $15 before the 8% sales tax was applied. How much did Kim pay for the hat after taxes were added?
Kim paid $16.20
500
You paid $28.00 for 8 gallons of gasoline. How much would you pay for 15 gallons of gasoline?
You would pay $52.50
500

A pump can fill a 20-gallon tank in 6 minutes. How long will it take to fill a 100- gallon tank with this same pump? 

Write an equation for this relationship where (g) is gallons and (m) is minutes. 

Hint: Minutes (known) ; Gallons (unknown)

 30 minutes; g = 3.3m

500
The circumference of the circle at the center of a basketball court is 37.68 feet. Find the area of the circle at center court. Use 3.14 for pi.
The area of the circle is 113.04
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