Question

The function y = 14 +2.31x + 4.50 can be used to determine the cost in dollars for an Uber ride of x miles which takes no longer than 10 minutes. What is

the rate of change of the cost in dollars with respect to the number of miles?

Answer 1

2.32dollar/mile

Explanation:

step one:

Given the function

y = 14 +2.31x + 4.50

we can solve for the rate of change by applying differentiation.

step two:

differentiating y which is cost with respect to x which is the miles

dy/dx= 0+2.32+0

dy/dx=2.32

Hence the rate of change of cost in the dollar to a mile is

2.32dollar/mile