The art club designed t-shirts and plans on placing an order with a screen-printer company. They charge $28 per shirt for orders of 20 or fewer shirts, $23 per shirt for orders of 21 to 40 shirts, $20 per shirt for 41 to 65 shirts, and $15 per shirt for orders greater than 65 shirts. Write a piecewise function to represent t-shirt prices, where x represents whole numbers of t-shirts.
What is the cost if 25 t-shirts are ordered?
What is the cost if 100 t-shirts are ordered?
Note
(t-shirts ordered, total cost)
Q: How many expressions are needed for this function? Explain.
A: Four, because there are four prices and ordering tiers.
Q: How do you determine which price to use when purchasing t-shirts?
A: You can use the inequality beside each expression to determine the correct price.
Q: Would this be a continuous or discrete function? Explain.
A: Discrete because you can only purchase whole numbers of shirts.