Constant of Proportionality

What is the constant of proportionality for the line on the graph below?

• 2

• 1/2

• -1/2

• -2

Tags

CCSS.8.EE.B.5

The graph below shows the amount of money Johnny saved for 12 months. Which amount is closest to Johnny’s rate of savings over those 12 months?

• $7.14 per month

• $13.75 per month

• $14.00 per month

• $15.00 per month

Tags

CCSS.7.RP.A.2D

This table on a package of dog food tells how much to feed a dog, depending on its weight. The amount of food in scoops (s) is related to the weight of the dog in pounds (p) by the equation s = kp. What is k?

• 7.5

• 2/15

• 1.5

• 4/15

Tags

CCSS.7.RP.A.2B

It took a race car driver 3 hours and 15 minutes to go 500 miles. What was his mean rate of speed, to the nearest tenth of a mile per hour?

• 142.9 mph

• 153.8 mph

• 158.7 mph

• 166.7 mph

Tags

CCSS.6.RP.A.3B

Tommy has a lawn service. He earns $25 for every lawn he mows. Which of the following represents the rate of change of his income with respect to the number of lawns he mows?

• $12.50/2 lawns

• $50/2 lawns

• $12.50/1 lawn

• $25/1 lawn

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Miranda wants to buy pencils printed with the school mascot. The graph below represents the cost for different numbers of pencils. What is the cost per pencil?

• $0.12

• $0.16

• $1.20

• $8.30

Tags

CCSS.7.RP.A.2D

Michael’s car can travel 25 miles on one gallon of gas. The cost of gas is $3.75 per gallon. Which equation would calculate the total cost of gas, t, based on the number of miles traveled, n?

• t = 0.11n

• t = 0.15n

• t = 1.50n

• t = 6.67n

Tags

CCSS.6.RP.A.3B

Suppose that a butterfly can fly 82 feet in 4 seconds. A dragonfly can fly 50 feet in 2 seconds. Which can fly faster and by how much?

• The dragonfly is 4.5 feet per second faster.

• The dragonfly is 20.5 feet per second faster.

• The butterfly is 4.5 feet per second faster.

• The butterfly is 24 feet per second faster.

Tags

CCSS.6.RP.A.3B

On a map of North Carolina, 27 centimeters represents 18 miles. Based on the map, which equation would calculate the number of miles between two cities, y, when they measure x centimeters apart?

• y = (2/3)x

• y = (3/2)x

• y = 9x

• y = 18x

A hybrid vehicle claims to get 60 miles per gallon in the city. The cost of gas is $3.60 per gallon. Which equation will calculate the cost of gas, c, per mile driven, m?

• c = 0.06m

• c = 0.60m

• c = 1.67m

• c = 3.60m

Tags

CCSS.6.EE.C.9