Answer:
1.5 dollars/miles
Step-by-step explanation:
Given function [tex]y=3.75 + 1.5(x-1)[/tex] 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 [tex]y=3.75 + 1.5(x-1)[/tex] in y=mx+b form
[tex]y=3.75 + 1.5(x-1)[/tex]
[tex]y=3.75 + 1.5x-1.5[/tex]
[tex]y=2.25 + 1.5x[/tex]
[tex]y=1.5x + 2.25[/tex]
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.
