Question d-16-x

1.1 Linear Functions - Rate of change applications
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d=16-x30

The equation shown gives the estimated amount of diesel d , in gallons, that remains in the gas tank of a truck after being driven x miles, where 0x480. What is the estimated amount of diesel, in gallons, that remains in the gas tank of the truck when x = 300 ?

A.

0

B.

6

C.

14

D.

16

d = 16 - x 30 The equation shown gives the estimated amount of diesel d

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 B is correct. It’s given that the equation d=16-x30 gives the estimated amount of diesel d , in gallons, that remains in the gas tank of the truck after being driven x miles. Substituting 300 for x in the given equation yields d=16-30030, which is equivalent to d=16-10, or d = 6 . Therefore, the estimated amount of diesel that remains in the gas tank of the truck when x = 300 is 6 gallons.

Choice A is incorrect. This is the estimated amount of diesel, in gallons, that will remain in the gas tank of the truck when x = 480 , not when x = 300 .

Choice C is incorrect. This is the estimated amount of diesel, in gallons, that will remain in the gas tank of the truck when x = 60 , not when x = 300 .

Choice D is incorrect. This is the estimated amount of diesel, in gallons, that will remain in the gas tank of the truck when x = 0 , not when x = 300 .