Question

Jeremy wanted to make some extra money in the summer, so he opened up a lemonade stand in front of his house. Before he could sell cups of lemonade, he had to purchase $12 in cups, sugar, and other materials to build the stand. The total amount Jeremy made on his lemonade stand is modeled by the function A(x) = 2.5n + 12 where A is the total amount he made on n cups of lemonade sold. Which best describes the rate of change in this function?

A. The rate of change is $2.5 per cup of lemonade.
B. The rate of change is $12 per cup of lemonade.
C. The rate of change is $2.5 per $12 spent.
D. The rate of change is $12 per $2.5 spent.

Answer 1

The rate of change in this function is $2.5 per cup of lemonade.

Step-by-step explanation:

The function A(x) = 2.5n + 12 represents the total amount Jeremy made on n cups of lemonade sold.

The rate of change in this function is determined by the coefficient of n, which is 2.5.

This means that for each cup of lemonade sold, Jeremy earns $2.5 more.

Therefore, the best description of the rate of change in this function is: The rate of change is $2.5 per cup of lemonade.