Nicole sells cupcakes. She knows that if she charges $1 per cupcake, she will be able to sell 100 cupcakes. She also knows that if for every 25 cents she raises the price, she will lose ten customers. How much should she charge in order to make the most money?

a. How does the profit relate to the price? Explain how you know.

b. What kind of relationship is this? Explain how you know.

c. Can you use this relationship to solve Nicole’s problem? If so, explain how. If not, explain why not.