Question

Kaitlin is driving to Memphis. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of . See the figure below.
Kaitlin has 51 miles remaining after 40 minutes of driving. How many miles will be remaining after 52 minutes of driving?

Answer 1

Give me the answer

Answer 2

If the slope is -3/4 (miles per minute), then in 12 more minutes the remaining distance decreases by 12*(3/4)=9 miles. So 51 - 9 = 42 miles remain after 52 minutes.

(Using point-slope: y - 51 = (-3/4)(52 - 40) → y = 51 - 9 = 42.)