Question 455370: The ski club at a community college plans to spend $1250 to charter a bus for a ski trip. The cost will be split evenly among the students who sign up for the trip. Each student will also pay $350 for food, lodging, and ski lift tickets.
a. LetC(n)bethetotalcost(indollars)fornstudentsgoingon the trip. Find an equation of C.
I got.... C(n) = 350n+1250
b. LetM(n) be the mean cost per student (in dollars per student) if n students go on the trip. Find an equation of M.
I got.... M(n) = 350n+1250 / n
c. What is the mean cost per student if 30 students go?
I got.... M(n) = 350 (30) +1250 / 30 = $391.67
d. The ski trip will be cancelled unless the mean cost per stu- dent is $400 or less. What is the minimum number of students needed to go on the trip?
This one I do not get... Could you please assist?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The ski club at a community college plans to spend $1250 to charter a bus for a ski trip. The cost will be split evenly among the students who sign up for the trip. Each student will also pay $350 for food, lodging, and ski lift tickets.
a. LetC(n)bethetotalcost(indollars)fornstudentsgoingon the trip. Find an equation of C.
I got.... C(n) = 350n+1250
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b. LetM(n) be the mean cost per student (in dollars per student) if n students go on the trip. Find an equation of M.
I got.... M(n) = (350n+1250)/n
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c. What is the mean cost per student if 30 students go?
I got.... M(30) = (350(30) +1250)/30 = $391.67
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d. The ski trip will be cancelled unless the mean cost per student is $400 or less. What is the minimum number of students needed to go on the trip?
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Solve (350n+1250)/n <= 400
350n+1250 <= 400n
50n >= 1250
n >= 25 students
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Cheers,
Stan H.
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