Adam joins the local gym his membership fee is $10 a month the gym also charges a $45 application fee the algebraic expression that models this example is 10m + 45 we're in represents the number a month how much does Aiden pay for his membership after 12 months

1 answer

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:

  1. Calculate the monthly fees: \[ 10 \times 12 = 120 \]

  2. Add the application fee: \[ 120 + 45 = 165 \]

Therefore, Adam will pay $165 for his membership after 12 months.