Question

Justine enrolls in a music program. The cost of the program includes a one-time registration fee of $45 and a fee of $9 per lesson. If the average cost per music lesson is $12 and Justine has taken x classes, which equation represents this scenario?

A.12=54/x
B.12=45+9/x
C.12=45+9x/x
D.12=45x+9/x

Answer 1

If Justine has taken x classes of $9 per lesson, then the total fee for these lessons is $9x.

The cost of the program includes a one-time registration fee of $45 and a fee of $9 per lesson. This means that the total cost of the program in terms of x is

$45 + $9x = $(45 + 9x).

If the average cost per music lesson is $12 (includes a registration fee), then the cost of the program is $12x.

Therefore,

12x = 45 + 9x.

Divide this equation by x:

`12=(45+9x)/(x).`

Answer: correct option is C