Question

A function that can be used to model the cost of producing x t-shirts is c(x)= 10 + 7x, and the function that can be used to model the amount of money to be made from selling x t-shirts is m(x) = 20x.

Write a function p(x) to represent the total profit of selling x number of shirts.

Answer 1

profit=selling price-cost price
P(x)=m(x)-c(x)
P(x)=20x-(10+7x)
P(x)=20x-10-7x
P(x)=13x-10

Answer 2

amount of money - cost = revenue
20x -(10+7x) = revenue
13x - 10 = p(x)