Question

A driver's distance D in miles from a rest stop after x hours is given by D(x) = 72x.

a) How far is the driver from the rest stop
after 3 hours?
b) Find the slope of the graph of D. Interpret
this slope as a rate of change.

Answer 1

Answer & Step By Step Explanation:

a) The function D(x) = 72x represents the distance traveled by the driver after x hours. To find out how far the driver is from the rest stop after 3 hours, we simply substitute x = 3 into the function:

`D(3) = 72 * 3 = 216 miles`

So, the driver is 216 miles away from the rest stop after 3 hours.

b) The slope of the graph of D(x) = 72x is 72. In the context of this problem, the slope represents the rate of change of the distance with respect to time. This is essentially the speed of the driver. So, the driver is traveling at a constant speed of 72 miles per hour.

Answer 2

the driver is 24 hours

the slop is 72 (x is always slope)