Question

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 per month to Sandra and 24 hours of lessons per month to Bela. What is the total amount the instructor makes in a month?

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

The instructor receives $_ per month in total from Sandra and Bela.

Answer 1

To find the total amount the instructor makes in a month from both Sandra and Bela, we first need to calculate the total for Bela using the same equation.

Bela takes 24 hours of lessons, so we calculate her total cost:

\[
y = 8(24) + 12 = 192 + 12 = 204
\]

Now, we add the amounts received from Sandra and Bela:

- Total from Sandra = $268
- Total from Bela = $204

Now we calculate the total amount:

\[
\text{Total} = 268 + 204 = 472
\]

Thus, the instructor receives **$472** per month in total from Sandra and Bela.