Question

Manfred's membership at a gym includes a fixed monthly cost and a yearly membership fee of $25. After 3 years as a member, Manfred paid $579. How much did Manfred pay per month? Write and solve an equation to represent the situation, and explain what the solution means in the context of the problem. Hint: Write an expression to represent 1 year of costs, then use distribution. Type your answer in the box. Use the sqrt(x) button to enter math expressions and equations.

Answer 1

Manfred pays $168 per month for his gym membership.

Step-by-step explanation:

To calculate how much Manfred pays each month, we can set up an equation using the given information. Let x be the fixed monthly cost and y be the yearly membership fee of $25.

After 3 years, Manfred has paid a total of $579. This can be expressed as:

3x + 3y = 579

Since the yearly membership fee is $25, we can replace y with 25:

3x + 3(25) = 579

Simplifying the equation, we have:

3x + 75 = 579

Subtracting 75 from both sides:

3x = 504

Dividing both sides by 3:

x = 168

Therefore, Manfred pays $168 per month for his gym membership.