Question

HUHS is looking to buy more sports equipment for the upcoming school year. The function C(x) = 314 - 7.7x models the cost of shipping the equipment, x, to the school. The function R(x) = 19.3x models the revenue the school earns from fundraising for the equipment, x, they want to buy. Which function, P9x), models the profit that the school earns if they fundraise for the equipment? (Profit = Revenue - Cost)

Answer 1

According to the information the function for the profit p(x) is obtained by substracting the revenue and the costs.

`p(x)=R(x)-C(x)`

replace the functions into the equation

`p(x)=19.3x-(314-7.7x)`

distribute the negative sign

`p(x)=19.3x-314+7.7x`

simplify the equation

`p(x)=27x-314`