It costs $100 to join a fitness center plus a monthly fee. You spent $700 last year at the fitness center. How much was the monthly fee? Write and solve an algebraic equation to determine the monthly fee.

Question

It costs $100 to join a fitness center plus a monthly fee. You spent $700 last year at the fitness center. How much was the monthly fee? Write and solve an algebraic equation to determine the monthly fee.

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Answer 1

Let's assume that the monthly fee is x dollars.

We know that it cost $100 to join the fitness center, and that you spent $700 in total for the year.

So, we can set up an equation:

$100 + 12x = $700

The $100 is the one-time joining fee, and the 12x is the monthly fee for the year (since there are 12 months in a year).

Now we can solve for x:

$12x = $600

x = $50

So the monthly fee is $50.