Question

The function Y=4.75+2.20(X-1) can be used to determine the cost in dollars for a taxi ride in Houston, TX. What is the rate of change of the cost in dollars with respect to the number of miles?

Answer 1

2.20 dollars/mile

Explanation:

Given the function:

y = 4.75 + 2.20(x-1)

Before we get the rate of change of the cost, we need to write the expression in the form y = mx+c where;

m is the rate of change of the cost

From the function given:

y = 4.75 + 2.20(x-1)

Open the parenthesis

y = 4.75 + 2.20x -2.20

y = 2.20x + 2.55

On comparing with the standard

m = 2.20

Hence the rate of change of the cost in dollars with respect to the number of miles is 2.20 dollars/mile