Asked by Leslie
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
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