Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

The surf instructor has an initial fee of [tex]$12$[/tex] and charges [tex]$8$[/tex] per hour for lessons, which is represented by the equation [tex]y = 8x + 12[/tex], where [tex]x[/tex] is the number of hours and [tex]y[/tex] 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?

For Sandra:
[tex]\[
\begin{array}{l}
y = 8(32) + 12 \\
y = 256 + 12 \\
y = 268
\end{array}
\][/tex]
The instructor receives [tex]$268 a month from Sandra.

For Bela:
\[
\begin{array}{l}
y = 8(24) + 12 \\
y = 192 + 12 \\
y = 204
\end{array}
\]
The instructor receives $[/tex]204 a month from Bela.

What is the total amount the instructor makes in a month?

The instructor makes [tex]$\$[/tex]268 + \[tex]$204 = \$[/tex]472$ a month.

Sagot :

GinnyAnswer
To calculate the total earnings of the surf instructor, we need to consider both Sandra and Bela.

Firstly, we calculate the monthly earnings from Sandra:
[tex]\[ y = 8 \times 32 + 12 \][/tex]
[tex]\[ y = 256 + 12 \][/tex]
[tex]\[ y = 268 \][/tex]
Thus, the instructor receives [tex]$268 a month from Sandra. Next, we calculate the monthly earnings from Bela: \[ y = 8 \times 24 + 12 \] \[ y = 192 + 12 \] \[ y = 204 \] Thus, the instructor receives $[/tex]204 a month from Bela.

To find the total amount the instructor makes in a month from both students, we add the amounts from Sandra and Bela:
[tex]\[ 268 + 204 = 472 \][/tex]

Therefore, the instructor makes [tex]$\$[/tex] 472$ a month from both Sandra and Bela together.
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.