Question

New carpeting can be purchased and installed for $17.50 per square yard plus a $50 delivery fee. Given that the equation for the total cost of purchasing and installing the carpet can be represented by the function c(s) = 17.50s + 50, where c is the total cost, in dollars, of purchasing s square yards of carpet. Find the inverse, and write the square yardage as a function of cost.

Answer 1

c(s)=17.50s +50. To find the inverse of the function change c(s) to y.
Thus we have y = 17.50s +50.

Now swap the y and the s. We have s= 17.50y +50.

Now solve for y in terms of s.