The student council at somerville high school is making t-shirts to sell for a fundraiser, at a price of $11 apiece. the costs, meanwhile, are $10 per shirt, plus a setup fee of $48. selling a certain number of shirts will allow the student council to cover their costs. how many shirts must be sold? what will the costs be?

They must sell 48 shirts to cover the cost.

Step-by-step explanation:

In order to find the break even point, we need to create an equation for the amount of money made. This would be 11 per shirt (x)

p(x) = 11x

Now we also have to create an equation for the cost relative to the number of shirts, but also adding the setup cost.

c(x) = 10x + 48

Now to find when they are equal, set the two equations equal to one another and solve for x.

11x = 10x + 48

x = 48

4

step-by-step explanation: