The rate of change of the cost in dollars with respect to the number of miles is the derivative of the function y=3.75+1.5(x-1) with respect to x.
Taking the derivative of the function, we get:
dy/dx = 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. This means that for each additional mile traveled, the cost of the taxi ride increases by $1.50.
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?
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