Question

A print shop charges $20 to set up the graphic for printing t-shirts. The store then charges $12 per shirt for purchasing up to 10 shirts. The charge decreases to $10 if a customer purchases 10-20 shirts. If a customer purchases more than 20 shirts, each shirt will cost $7. What will it cost a soccer team to have 15 shirts printed?​right and grab a piecewise function that models the situation answer the question

Answer 1

• see below for the piecewise function
• $170 for 15 shirts

Explanation:

The cost function c(n) for n T-shirts can be written according to the problem statement:

`c(n)=\begin{cases}20+12n&\text{for }n<10\\20+10n&\text{for }10\le n\le20\\20+7n&\text{for }n>20\end{cases}`

For an order of 15 shirts, the cost will be ...

c(15) = 20 +10(15) = 170

The soccer team's 15 shirts will cost $170.