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.

Question

Mathematics

Deegan

15 February, 18:53

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.

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Brewer · 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