Question

1. A t-shirt company sells t-shirts for $25 apiece if you buy less than 10 t-shirts, $20 apiece it
you buy any amount between 10 and 50 t-shirts, and $15 apiece if you buy more than 50
t-shirts. Shipping the t-shirts is a flat fee of $3, no matter the size of the order,
Part A: Write a piecewise - defined function that represents the total price for ordering
T-shirts.
0
Part B: Represent the function on the graph below.

Answer 1

Step-by-step explanation:

If the number of t-shirts is between 0 and 10, the cost is:

y = 3 + 25x

If the number of t-shirts is between 10 and 50, the cost is:

y = 3 + 20x

If the number of t-shirts is greater than 50, the cost is:

y = 3 + 15x

So the piecewise function is:

$y=\left \{ \begin{array}{cc}3+25x&0<x<10\\3+20x&10\leq x\leq 50\\3+15x&x>50\end{array}\right$