The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x + 12, where x is the number of hours and y is the total cost. The instructor gives 32 hours of lessons a month to Sandra and 24 hours of lessons a month to Bela. What is the total amount the instructor makes in a month?

Answer:$472 in a monthStep-by-step explanation:The total charge that an instructor takes for giving lessons is given by  y = 8x + 12 ........ (1), where x in hours is the number of hours he gives lessons and y in the dollar is the total charge for his lessons. Now, the instructor gives 32 hours of lessons a month to Sandra and 24 hours of lessons a month to Bela. Therefore, the instructor makes an amount of [( 8 × 32 + 12 ) + ( 8 × 24 + 12 )] = $472 in a month. {From equation (1)} (Answer)