A city park is opening a new swimming pool. You can pay a daily entrance fee of $3 or purchase a membership for the 12 week summer season for $82 dollars and pay only $1 per day to swim. How many days would you have to swim to make the membership worthwhile?

41 days

Step-by-step explanation:

The membership would be worthwile if you swim an amount of days paying the daily entrance fee that would make your total cost equal to the cost of the membership. From that you can write the following expression:

3x=82+(1*x), x is the number of days you go to swim

Now, you can solve for x:

3x=82+x

3x-x=82

2x=82

x=82/2

x=41

According to this, the answer is that you would have to swim 41 days to make the membership worthwile.

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