Question

The function y = 3.75 + 2.50(x - 3) can be used to determine the cost in dollars for a uber ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles? PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER.
Multiple choices:
A. $3.75 per mile
B. $6.25 per mile
C. $4.75 per mile
D. $2.50 per mile

Answer 1

The correct Answer is option D) $2.50

Let me explain how:

Differentiate y with respect to x
dy/dx= d/dx(3.75 + 2.50(x - 3))

dy/dx= 0+2.5(1) - 0=2.5

Hence, from the above calculations it is proven that the rate of change of the cost in dollars

=dy/dx

=2.5