Question

The function y=3.75+1.5(x−1)
can be used to determine the 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?(1 point)
Responses

$1.50 per mile
$1.50 per mile

$3.75 per mile
$3.75 per mile

$4.25 per mile
$4.25 per mile

$5.25 per mile

Answer 1

The function given is \( y = 3.75 + 1.5(x - 1) \).

To find the rate of change of the cost with respect to the number of miles \( x \), we can identify the coefficient of \( x \) in the equation.

Let's rewrite the equation in a simpler form:

\[
y = 3.75 + 1.5x - 1.5
\]

This simplifies to:

\[
y = 1.5x + 2.25
\]

In this equation, the coefficient of \( x \) (which represents the change in cost per mile) is \( 1.5 \).

Thus, the rate of change of the cost in dollars with respect to the number of miles is:

**$1.50 per mile**.