To compare the two payment options for the local fitness club, we can define the total cost for each plan based on the number of visits (let's call the number of visits \( x \)) in a given month.
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Plan A: \[ \text{Total cost for Plan A} = 25 + 2x \] Here, $25 is the monthly membership fee, and $2 is the cost per visit.
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Plan B: \[ \text{Total cost for Plan B} = 7x \] Here, $7 is the cost per visit, and there is no monthly membership fee.
Now, to determine which plan is better depending on the number of visits, we can find the point where the costs are equal:
\[ 25 + 2x = 7x \]
Now, let's solve for \( x \):
\[ 25 = 7x - 2x \] \[ 25 = 5x \] \[ x = 5 \]
Conclusion:
- For 0 to 4 visits in a month: Plan B will be cheaper.
- For 5 or more visits: Plan A becomes the better option.
So, if you plan to visit the gym 5 times or more in a month, Plan A is the more economical choice. If you plan to visit fewer than 5 times, then Plan B would be the better option.