Answer :
You would have to swim for 41 days to make the membership worthwhile
Let "x" represent the number of days you would have to swim to make the membership worthwhile.
If you choose to pay the daily entrance fee, the cost would be 3 per day.
If you purchase the membership, you pay a one-time fee of 82 for the 12-week summer season and then 1 per day to swim.
The equation to solve this problem is:
3x = 82 + 1x
On the left side of the equation, 3x represents the total cost if you choose to pay the daily entrance fee for "x" days.
On the right side of the equation, 82 represents the cost of the membership and 1x represents the additional cost per day for "x" days.
To make the membership worthwhile, we want the cost of paying the daily entrance fee to be equal to the cost of purchasing the membership.
Simplifying the equation, we get:
3x - 1x = 82
2x = 82
x = 41
Therefore, You would have to swim for 41 days to make the membership worthwhile.
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