Question

A new one year membership at The Henrico Recreation Center costs $160. After the initial registration fee of $28 is paid upfront, the rest is paid monthly. Write an equation that represents how much do new members pay each month.

Answer 1

To calculate the monthly payment for a new membership at The Henrico Recreation Center after the upfront fee, subtract the initial $28 registration fee from the total cost of $160 and divide by 12 months to get $11 per month.

Step-by-step explanation:

To determine how much new members pay monthly for a one year membership at The Henrico Recreation Center, we can set up an equation. The total cost of the membership is $160. After paying the initial registration fee of $28 upfront, members cover the remaining balance through monthly payments. Let's denote the monthly payment as M.

The cost of the membership minus the registration fee is the amount to be split into monthly payments, and this can be calculated as follows: Total cost - Registration fee = Monthly payment x Number of months. So the equation representing the monthly payment is:

M = (Total cost - Registration fee) / Number of months

Substituting the given values:

M = ($160 - $28) / 12

Therefore, M = $132 / 12 = $11 per month.