Question

NEED HELP ASAP 20 POINTS

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?

TABLE BELOW
Number of Students (n) 3 6 9 16
Cost per Student (c) $24 $12 $8 $4.5

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

Answer 1

nc=72,6$

Explanation:

Answer 2

As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:

1. 
   `3*24=72`
2. 
   `6* 12=72`
3. 
   `9* 8=72`
4. 
   `16* 4.5=72`

Thus, the function which models the data is the
`nc=12`.

Now, let us move on to the next part of the question:

If 12 students go on the trip then the cost per student as per this model will be:

`(72)/(12)=6` dollars=$6

Therefore, out of the given options, the option the correct option is number B.