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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? NOTE: Type the numerical value into the blank to receive credit. DO NOT type the $ into the blank.(1 point)The instructor receives $ per month in total from Sandra and Bela.

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To calculate the total amount the instructor makes from both Sandra and Bela, we first need to find out how much the instructor charges each of them separately using the given equation \( y = 8x + 12 \).

  1. Calculate Sandra's total cost:

    • Sandra has 32 hours of lessons.
    • Using the equation: \[ y = 8(32) + 12 = 256 + 12 = 268 \] Sandra pays $268.

  2. Calculate Bela's total cost:

    • Bela has 24 hours of lessons.
    • Using the same equation: \[ y = 8(24) + 12 = 192 + 12 = 204 \] Bela pays $204.

  3. Calculate the total amount for both Sandra and Bela: \[ \text{Total} = 268 + 204 = 472 \]

Thus, the total amount the instructor makes in a month from Sandra and Bela is 472.