Question

Question 2
1 pts
The function y = 2.50 +2.50 (x-1) can be used to determine the cost in dollars of a ride with a rideshare company of x miles. What is the rate of change of the cost in dollars with respect to the number of miles?
$2.50 per mile
$1.50 per mile
$1.00 per mile
$3.50 per mile

Answer 1

To determine the rate of change of the cost in dollars with respect to the number of miles \( x \), we can analyze the function provided:

\[ y = 2.50 + 2.50 (x - 1) \]

Let's simplify this function:

1. Distributing the \( 2.50 \):
\[ y = 2.50 + 2.50x - 2.50 \]
\[ y = 2.50x \]

Now, we can see that the function is a linear function in the form of \( y = mx + b \), where \( m \) is the coefficient of \( x \) and represents the rate of change.

Here, the coefficient of \( x \) is \( 2.50 \).

Thus, the rate of change of the cost in dollars with respect to the number of miles is **$2.50 per mile**.

So the correct answer is:
**$2.50 per mile**.