Question

A drama club is planning a bus trip to New York City to see a Broadway play. The table represents the cost per person for the bus rental compared to the number of people going on the trip. What function models the data, and how much per person will it cost if 12 students go on the trip?
Number of Students(n) - Cost per Student(c)
3 - 24$
6 - 12$
9 - 8$
16 - $4.5

A. n/c = 72, $12
B. nc = 9, $10
C. nc = 72, $6
D. n/c = 9, $12,

Answer 1

Answer is C. Explanation :- Take the 1st case where Number of student(n) = 3 and Cost per student(c) is 24, we get n*c = 72 Take the 2nd case n = 6 and c =12, we get n*c = 72 Take the 3rd case n = 9 and c = 8, we get n*c = 72 By above observation we can say that product of Number of student and cost per student is 72 always. Now for n = 12 we have to calculate c n*c = 72 c = 72/12 = 6. hence answer is option C.