Unit 7 Test: Linear Functions

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Traveling at a constant rate, Rebecca travels 216 miles in 3 hours. Which equation represents the relationship between time (t) and distance traveled (d)?

• d = 72t

• t = 72d

• d = t + 216

• t = d + 216

Which table has a proportional relationship?

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William earns $15 each time (t) he mows a lawn. Which equation can be used to determine how many lawns William mowed if he earned $75?

• 15t = 75

• 75 = 5t

• 5t = 15

• 5 = 15t

Each row of the table identifies a line which contains a graph. Indicate whether each graph represents a proportional relationship between x and y.

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• . Robot A traveled 1 meter in 5 seconds.

• Robot B traveled 9 meters in 6 seconds.

• Robot C traveled 5 meters in 2 seconds.

• Robot A traveled 10 meters in 2 seconds.

• Robot B traveled 2 meters in 3 seconds.

Does each line on the graph represent a proportional relationship? Explain your answer.

• Yes

• No, A is not proportional.

• No, B is not proportional.

• No, C is not proportional.

Part C: Which Robot is traveling at the fastest rate of speed? Explain your answer.

• A

• B

• C

Part A: What is the constant of proportionality (unit rate) of the water filling the tub?

• 1/12

• -1/12

• 12

• -12

Part B: Which equation represents the relationship between the elapsed time, m, and the amount of water in the tub, g?

• g = 12m

• g = 24m

• m = 12g

• m =24g