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

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:

correct option is C

ok then what happened.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!