Answer:
Let's say the number of visits to the pool is represented by the variable 'x'.
If a person chooses to pay per visit, the cost will be 4x dollars.
If a person chooses to buy a membership, the cost will be a one-time payment of $100.
We want to find out when the cost of buying a membership becomes less expensive than paying per visit. In other words, we want to solve the inequality:
4x > 100
To solve for x, we need to isolate the variable. We can do this by dividing both sides by 4:
x > 25
So, if a person plans to visit the pool more than 25 times, it's more cost-effective to buy a membership instead of paying per visit.