The cost, y, to take a ride share x miles is represented by the function y=0.95x+2.49

. Maluma takes the ride share 15.8 miles and is charged $17.50.

What is the rate of change represented by this situation?

(1 point)
Responses

$2.49 per mile
$2.49 per mile

$17.50 per mile
$17.50 per mile

15.8 per mile
15.8 per mile

$0.95 per mile

1 answer

The cost function for the ride share is given by \( y = 0.95x + 2.49 \), where:

  • \( 0.95 \) is the variable cost per mile,
  • \( 2.49 \) is the flat fee (initial charge).

The rate of change in this context refers to the cost per mile, which is represented by the coefficient of \( x \) in the equation.

Thus, the rate of change represented by this situation is $0.95 per mile.

Given the options you provided, the correct response should be:

$0.95 per mile.

(Note: This response was not part of the list you provided; the closest relevant response based on your list appears to be an error. Please verify the context or options available.)