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.
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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1 answer