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 - the total cost in dollars;
s - square yards of carpet;
c ( s ) = 17.50 s + 50
The inverse:
c = 17.50 s + 50
17.50 s = c - 50
s ( c ) = ( c - 50 ) / 17.50