A group of friends rent a house at the beach for spring break for a total cost of $.

(a) Suppose all the members of the group pay an equal share of the total cost. Is the cost to each person directly or inversely proportional to the number of people sharing the house? Be sure you can explain your reasoning.

(b) Write a formula for the cost per person as a function of the number of students who share the house, .
help (formulas)

(c) How many people are needed to share the house if each student wants to pay a maximum of $?
students help (numbers)

You can earn partial credit on this problem.