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Answer :
To solve the problem of finding the amount a gym charges based on the number of spin classes attended, we start by using the function given:
[tex]\[ f(x) = 15x + 200 \][/tex]
This function describes the total monthly membership cost as a combination of a base fee and an additional cost per spin class. In this formula:
- [tex]\( x \)[/tex] represents the number of spin classes attended.
- The term [tex]\( 15x \)[/tex] accounts for the cost related to spin classes, where each class costs [tex]$15.
- The constant 200 represents a fixed base fee for the monthly membership.
We need to calculate the total cost for someone who attends 10 spin classes. To find this, we substitute \( x = 10 \) into the function:
\[ f(10) = 15 \times 10 + 200 \]
This simplifies to:
\[ f(10) = 150 + 200 \]
\[ f(10) = 350 \]
So, the interpretation of \( f(10) = 350 \) in the real-world context is:
"A person who attends 10 spin classes will pay $[/tex]350."
This means that the total monthly cost for membership, considering attending 10 spin classes, amounts to $350.
[tex]\[ f(x) = 15x + 200 \][/tex]
This function describes the total monthly membership cost as a combination of a base fee and an additional cost per spin class. In this formula:
- [tex]\( x \)[/tex] represents the number of spin classes attended.
- The term [tex]\( 15x \)[/tex] accounts for the cost related to spin classes, where each class costs [tex]$15.
- The constant 200 represents a fixed base fee for the monthly membership.
We need to calculate the total cost for someone who attends 10 spin classes. To find this, we substitute \( x = 10 \) into the function:
\[ f(10) = 15 \times 10 + 200 \]
This simplifies to:
\[ f(10) = 150 + 200 \]
\[ f(10) = 350 \]
So, the interpretation of \( f(10) = 350 \) in the real-world context is:
"A person who attends 10 spin classes will pay $[/tex]350."
This means that the total monthly cost for membership, considering attending 10 spin classes, amounts to $350.
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