Question for-a-

1.1 Linear Functions - Rate of change applications
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For a training program, Juan rides his bike at an average rate of 5.7 minutes per mile. Which function m models the number of minutes it will take Juan to ride x miles at this rate?

A.

mx=x5.7

B.

mx=x+5.7

C.

mx=x-5.7

D.

mx=5.7x

For a training program, Juan rides his bike at an average rate of 5.7 minutes per

Medium-difficulty · SAT Math · Linear Functions — Rate of change applications. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. It′s given that Juan rides his bike at an average rate of 5.7 minutes per mile. The number of minutes it will take Juan to ride x miles can be determined by multiplying his average rate by the number of miles, x , which yields 5.7x. Therefore, the function mx=5.7x models the number of minutes it will take Juan to ride x miles.

Choice A is incorrect and may result from conceptual errors. 

Choice B is incorrect and may result from conceptual errors. 

Choice C is incorrect and may result from conceptual errors.