Question

The high school football team has a fundraiser selling t-shirts. It cost the team an initial $150 for the shirt order plus an additional $2 per shirt. The team sold the shirts for $10 per shirt. What is the the football team's profit equation, p(x), where x represents the number of shirts?

Answer 1

`P(x)=8x-150`

Explanation:

Let

x-----> the number of shirts

we know that

The equation of the cost is equal to

`C(x)=2x+150`

The equation of the sell is equal to

`S(x)=10x`

The equation of the profit is equal to

`P(x)=S(x)-C(x)`

substitute the values

`P(x)=10x-(2x+150)=8x-150`