Question

Carla's lemonade stand can sell at most 50 cups of lemonade in a day. Her daily profit is modeled by p(c) = 0.75c - 8.75, where her profit p is a function of cups c. What is the reasonable domain for the context of this problem?

a) c ≤ 50
b) c ≥ 50
c) c < 50
d) c > 50

Answer 1

The reasonable domain for this problem is c ≤ 50.

Step-by-step explanation:

The reasonable domain for this problem is c ≤ 50. The reason is that the lemonade stand can sell at most 50 cups of lemonade in a day, so the number of cups sold cannot exceed 50. Therefore, the possible values for the number of cups of lemonade sold, or the domain, is c ≤ 50.