Question

note: enter your answer and show all the steps that you use to solve this problem in the space provided. 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.

Answer 1

Answer: The monthly fee for the fitness center would be $50.

Explanation:

According to the problem, the fee to join a fitness center is $100, including the monthly fee. In total, you have spent $700 last year at the fitness center. To solve this in an algebraic equation, you will need to find the cost of the monthly fee per month.

The monthly fee in algebraic terms would be- $x

Since there is 12 months in a year, you will need to add the 12 as a variable to the front of x- $12x

Also, you have the addition fee for joining the fitness center which is 100 dollars- $12x + 100

You have spent a total of 700 dollars so you will need to find the variable-

$12x + 100 = 700

To find x, rewrite and solve the equation :

12x = 700 - 100 - rewrite the equation like this

12x = 600 - subtract 700 and 100 to get 600

600/12x - divide the remaining equation

x = 50 - x equals to 50 dollars!

Therefore, the monthly fees for the fitness center is $50 per month. Hope this helps!