Question

The function y=3.75 + 1.5(x-1) can be used to determine cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles?

Answer 1

Answer:

1.5 dollars/miles

Step-by-step explanation:

Given function $y=3.75 + 1.5(x-1)$ can be used to determine cost in dollars for a taxi ride of x miles.

Now we need to find about what is the rate of change of the cost in dollars with respect to the number of miles.

First we need to rewrite $y=3.75 + 1.5(x-1)$ in y=mx+b form

$y=3.75 + 1.5(x-1)$

$y=3.75 + 1.5x-1.5$

$y=2.25 + 1.5x$

$y=1.5x + 2.25$

comparing with y=mx+b, we get m=1.5

Hence rate of change of the cost in dollars with respect to the number of miles is 1.5.