How will the function g(x) = a*(x^2) compare to the parent function f(x) = (x^2) if a = (2/3)

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.