Use the given cost table for the same product from two different companies to create a linear system. Then solve the system to determine when the cost of the product will be the same and what the price will be.
Let f(x) represent the cost for dry cleaning at Company 1 and let g(x) represent the cost of dry cleaning at Company 2, where x is the number of garments dry cleaned.
Number of Garments Company 1 Company 2
5 $85.25 $35.25
10 $105.50 $65.50
15 $125.75 $95.75
braceleftze f(x) = x +
g(x) = x +
Both Company 1 and Company 2 charge $ for cleaning garments.