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?

Step-by-step explanation:

Registration fees = $45

Fees per lesson of music = $9

Let x be the number of lessons

So, fees of x lessons = 9x

So, Total fees =

Now we are given that the average cost per music lesson is $12

A.T.Q

Hence the equation represents this scenario is

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

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