Question
Delaney wants to sign up for a gym membership. Here are the options of two nearby gyms that she is considering. Option 1: Charges a one time initial fee of \( \$ 40 \) plus \( \$ 30 \) every month. Option 2: Charges \( \$ 35 \) every month. Enter the number of months it will take for both gyms to charge the same?
Ask by Ray Moreno. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
It will take 8 months for both gyms to charge the same.
Solution
Let m represent the number of months.
For Option 1, the total cost after m months is: 40 + 30m.
For Option 2, the total cost is: 35m.
We set the two costs equal to each other:
40 + 30m = 35m
Subtract 30m from both sides:
40 = 5m
Divide both sides by 5:
m = 8
Therefore, it will take 8 months for both gyms to charge the same.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
To find when both gyms will charge the same amount, we can set up the equations for the total cost of each gym. For Option 1: Total Cost = \( 40 + 30m \) (where \( m \) is the number of months) For Option 2: Total Cost = \( 35m \) Setting these two equations equal gives us: \( 40 + 30m = 35m \) Subtracting \( 30m \) from both sides leads to: \( 40 = 5m \) Dividing both sides by 5, we find: \( m = 8 \) So, it will take 8 months for both gyms to charge the same amount.
