Math  /  Algebra

QuestionA one-year membership to a gym costs $725\$ 725. The registration fee is $125,1\$ 125, * 1 point and the remaining amount is paid monthly. Create an equation for the situation. Solve for the variable.
Your answer

Studdy Solution

STEP 1

1. The total cost of a one-year gym membership is $725\$725.
2. The registration fee is a one-time payment of $125\$125.
3. The remaining amount is paid in equal monthly installments over 12 months.

STEP 2

1. Define the variable for the monthly payment.
2. Express the total cost as the sum of the registration fee and the total of the monthly payments.
3. Create an equation based on the total cost and solve for the monthly payment variable.

STEP 3

Define the variable representing the monthly payment amount. Let mm be the monthly payment.
m=monthly payment m = \text{monthly payment}

STEP 4

Express the total cost as the sum of the registration fee and the total of the monthly payments over 12 months.
725=125+12m 725 = 125 + 12m

STEP 5

Solve the equation for the monthly payment variable mm.
First, subtract the registration fee from both sides:
725125=12m 725 - 125 = 12m
This simplifies to:
600=12m 600 = 12m

STEP 6

Divide both sides by 12 to solve for mm:
m=60012 m = \frac{600}{12}
This simplifies to:
m=50 m = 50
_SOLUTION_: The monthly payment amount mm is $50\$50.

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