To find out how much Adam will pay for his gym membership after 12 months, we can use the algebraic expression provided:
\[ 10m + 45 \]
In this expression:
- \(10m\) represents the monthly fee of $10 multiplied by the number of months \(m\).
- The $45 is the one-time application fee.
To find the total cost after 12 months, we substitute \(m = 12\) into the expression:
\[ 10(12) + 45 \]
Now, calculating that step-by-step:
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Calculate the monthly fees: \[ 10 \times 12 = 120 \]
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Add the application fee: \[ 120 + 45 = 165 \]
Therefore, Adam will pay $165 for his membership after 12 months.