Question

The fuel efficiency of passenger cars has increased significantly since the 1970s. A linear model of this situation is given below, where x represents the number of years after 1970, and y represents the average miles per gallon. Interpret the slope.

A. For each year since 1970, passenger car fuel efficiency has increased by 0.29 gallons per mile.

B. For each year since 1970, passenger car fuel efficiency has increased by 13 gallons per mile.

C. For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

D. For each year since 1970, passenger car fuel efficiency has increased by 13 miles per gallon.

Answer 1

Answer: The answer is C. For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

Explanation:

In a linear model of the form y = mx + b, m is the slope and b represents the y-intercept.

In this situation, 0.29 is the slope.

The slope is the ratio of the change in y to the change in x.

In context, the slope indicates an increase of 0.29 miles per gallon per year after 1970.

Therefore, the slope means that for each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

Answer 2

its C not A because

For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.