SOLUTION: The Surf club at a college in California wants to charter a bus for a surf trip in Mexico. It costs $2600 to rent the bus and each student will pay $370 for lodging, meals, and sur

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Question 1097308: The Surf club at a college in California wants to charter a bus for a surf trip in Mexico. It costs $2600 to rent the bus and each student will pay $370 for lodging, meals, and surfboard rentals.

A) Let C(n) be the total cost for n students going on the trip. Find an equation for C: C(n)=
B) Let M(n) be the mean (or average) cost per student (in dollars per student) if n students go on the trip. Find an equation for M:
M(n)=
C) What is the mean cost if 6 students go? Mean cost =
D) The surf trip will be cancelled unless the mean cost per student is less than $453. What is the minimum number of students needed to go on the trip so it won't be cancelled? Your answer should be an integer.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
C(n)=2600+370(n)
M(n)=C(n)/n=(2600+370(n))/n
Mean for 6 is cost/6 or 2600+2220 divided by 6, 4820/6=$813.33.
453=(2600+370n)/n
453n=2600+370n
83n=2600
n=31.32 and round up to 32 students, where the cost will be 2600+32(370)=14440
divide that by 32 to get $451.25