A clothing store is having a sale on t-shirts: Buy 4 shirts at full price, then every subsequent shirt is
half off. The total amount a customer spends on x shirts can be modeled by the piecewise function
below:
T(x) = 28x for 0 ≤ x ≤ 4
14x + 56 for x > 4
(a) What is the full price for t-shirts? Explain how you know.
(b) Use the model to find how much a customer would pay for 3 shirts.
(c) Use the model to find how much a customer would pay for 6 shirts.
(d) Sketch a graph of T(x). Find enough points to be able to accurately sketch the graph and show
all your work.
(e) Is the graph continuous? Why or why not