Adrama club is planning a bus trip to new york city to see a broadway play. 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 a trip?

number of students (n) 3, 6, 9, 16,

cost per student (c) $24, $12, $8, 4.5

nc = 72, $6 per student when 12 students attend

Step-by-step explanation:

A drama club trip to NYC for a Broadway play costs a fixed amount $72. As more students choose to attend, the cost per student decreases. If 3 students attend then each must pay $24 since 3*24 = 72. If 6 students attend then each must pay $12 since 6*12 = 72. Each of these examples demonstrates the relationship for this function. It can be modeled using the function nc = 72 where n is the number of students and c is the cost per student.

So if 12 students attend, substitute n = 12 and solve for c.

12c = 72

c = 72/12

c = 6

The cost per student is $6.

tube or goog would be a great resource to with that question

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).