Constant of Proportionality

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

• 2

• 1/2

• -1/2

• -2

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

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

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

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

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

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

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