Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
Write a linear function for revenue.
R(x)=



c. Find C(50). Show your work.
• Write C(50) as an (x, y) coordinate point. ——-
• Write a sentence that explains the meaning of the point in the context of the problem.



D. Find R(50).
Represent R(50) as an (x, y) coordinate point. ———
Write a sentence that explains the meaning of the point in the context of the problem?

e. If the students sell 50 slushies, do they make a profit? Use mathematical work to help explain your answer. Complete the sentence below.

If the students sell 50 slushies, do they make——- a profit? Because——-


F. How many slushies do the students need to sell to break even? Use complete sentences to explain your problem solving strategy and your conclusion.

G. How many slushies do the students have to sell to make a profit of $1250? Use complete sentences to explain your problem solving strategy and your conclusion.