Submit the two equations that represent the cost of going to the gym based on if we join or do not join. Identify the number of times a person would go and have the costs of the 2 plans be the same.
To find the equations representing the cost of going to the gym based on whether someone joins or does not join, we need to establish some information.
Let's assume that joining the gym requires paying a monthly membership fee, whereas not joining means paying a per-visit fee every time someone goes to the gym.
Let's denote the following variables:
- J = monthly membership fee
- V = per-visit fee
- x = number of times going to the gym in a month
Now we can write the equations:
1. Cost with gym membership (Joining):
In this case, the monthly cost would be constant regardless of the number of visits. So the equation would be:
Cost with joining = J
2. Cost without gym membership (Not joining):
In this case, the cost would vary based on the number of times someone goes. The equation would be:
Cost without joining = V * x
To identify the number of times a person would go where the costs of the two plans are the same, we need to make the equations equal to each other:
J = V * x
By rearranging the equation, we can solve for x:
x = J / V
So, the number of times a person would go for the costs of the two plans to be the same is x = J / V.