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?
The rate of change of the cost in dollars with respect to the number of miles can be found by taking the derivative of the cost function y=3.75+1.5(x-1) with respect to x:
dy/dx = d/dx(3.75 + 1.5x - 1.5) = 1.5
Therefore, the rate of change of the cost in dollars with respect to the number of miles is 1.5 dollars per mile.