Question

The function y = 5.75 + 2.5(x - 2) can be used to determine cost in dollars to rent a house of x square feet. What is the rate of change of the cost in dollars with respect to the number of square feet?

Answer 1

The rate of change is given by the coefficient of x in the cost function. Hence, the rate of change of cost in the function is 2.5

Given the cost function :

• y = 5.75 + 2.5(x - 2)

Expanding the function and expressing in slope intercept form:

y = 5.75 + 2.5x - 5

y = 2.5x + 2.75

Therefore, the slope of the function is 2.5 ; which ubsthe rate of change of the cost function.

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