Question g-m-00

1.1 Linear Functions - Slope calculation and interpretation
0:00

gm=-0.05m+12.1

The given function g models the number of gallons of gasoline that remains from a full gas tank in a car after driving m miles. According to the model, about how many gallons of gasoline are used to drive each mile?

A.

0.05

B.

12.1

C.

20

D.

242.0

g m = - 0.05 m + 12.1 The given function g models the number of

Hard-difficulty · SAT Math · Linear Functions — Slope calculation and interpretation. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. It's given that the function g models the number of gallons that remain from a full gas tank in a car after driving m miles. In the given function gm=-0.05m+12.1, the coefficient of m is -0.05 . This means that for every increase in the value of m by 1 , the value of gm decreases by 0.05 . It follows that for each mile driven, there is a decrease of 0.05 gallons of gasoline. Therefore, 0.05 gallons of gasoline are used to drive each mile.

Choice B is incorrect and represents the number of gallons of gasoline in a full gas tank.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.