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?

Question


$1.50 per mile
$3.75 per mile
$4.25 per mile
$5.25 per mile

Answer 1

$1.50 per mile

To find the rate of change of the cost in dollars with respect to the number of miles, we need to find the derivative of the function with respect to x. The derivative of y=3.75+1.5(x-1) with respect to x is simply 1.5. This means that for each additional mile, the cost increases by $1.50.