Question

Jose is driving to Denver. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in

minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below.
Jose has 48 miles remaining after 50 minutes of driving. How many miles were remaining after 34 minutes of driving?

Answer 1

63.2 miles

Explanation:

The given slope and point can let us use the point-slope form of the equation for a line:

y = m(x -x1) +y1

y = -0.95(x -50) +48

We want to find the value of y for x=34.

y = -0.95(34 -50) +48 = 63.2

Jose had 63.2 miles remaining after driving 34 minutes.