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

1.5 dollars/miles

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.