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?

Respuesta :

Answer:

[tex]y = 25 + 46x[/tex] --- Equation

$46 monthly

Step-by-step explanation:

Given

[tex]Registration = \$25[/tex]

[tex]Total = \$577[/tex]

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:

[tex]y = Registration + Monthly * x[/tex]

[tex]y = 25 + \frac{552}{12}*x[/tex]

[tex]y = 25 + 46*x[/tex]

[tex]y = 25 + 46x[/tex]

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:

[tex]Monthly = \frac{552}{12}[/tex]

[tex]Monthly = \$46[/tex]