Question

A new one year membership at Fit and fab costs $577. A registration fee of $25 is paid up front, and the rest

paid monthly. Write the equation
How much do new members pay each month?

Answer 1

`y = 25 + 46x` --- Equation

$46 monthly

Explanation:

Given

`Registration = \$25`

`Total = \$577`

Solving (a): The equation

Out of $577, $25 is paid as registration fee

So, the members are left with $552 (i.e. $577 - $25) to pay over 12 months

Let the number of months be x and the total amount to pay be y.

The equation is:

`y = Registration + Monthly * x`

`y = 25 + (552)/(12)*x`

`y = 25 + 46*x`

`y = 25 + 46x`

Solving (b): The monthly payment

In (a) above, we established that:

"So, the members are left with $552 (i.e. $577 - $25) to pay over 12 months"

The monthly payment is:

`Monthly = (552)/(12)`

`Monthly = \$46`