Question

The cost of providing water bottles at a high school football game is $35 for the

rental of the coolers and $0.50 per bottle of water.
A. What does $35 represent in the function for this situation?
B. What does $0.50 represent in the function for this situation?
C. Write a function for the amount 'C, in dollars, of providing b water bottles.
D. What is an appropriate domain for the function?
E. Graph the function over the appropriate domain.

Answer 1

Explanation:

A.

35 dollars represents the cost of renting the coolers (I think it's a constant since it does not say it is the cost per cooler).

B.

0.50 cent represents the cost per water bottle in the function (the coefficient in front of b, the amount of water bottles being purchased).

C.

C is the total cost.

C = 0.50b + 35

D.

I'm not sure what this is asking. Y = 0.50x + 35's domain is all real numbers but I'm not sure what it means by "appropriate domain for the function" unless the problem is using the average statistics from actual high school football games based on how many water bottles are purchased or something else.

E.

The graph would be all real numbers unless I'm wrong. Which is very possible on d and e but I think I provided the correct info on the others.