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?

Question

Sandra: y = 8 (32) + 12. y = 256 + 12. y = 268. The instructor receives 268 dollars a month from Sandra.
The instructor makes $ ___a month.

Answer 1

The instructor makes $268 a month from Sandra and $___ from Bela.

To find the total amount the instructor makes in a month, we need to calculate the amount of money the instructor makes from Bela and then add it to the amount received from Sandra.

Bela: y = 8 (24) + 12. y = 192 + 12. y = 204.
The instructor receives $204 a month from Bela.

Therefore, the total amount the instructor makes in a month is $268 + $204 = $472.

The instructor makes $472 a month.