An amusement park that you are excited to try is $28 per visit.

You have the option to purchase a monthly membership for $90 and then pay $15 for each visit.

If you purchase the monthly membership for $90 and then pay $15 for each visit, you would need to calculate if it is worth it for you based on the number of times you plan on visiting the amusement park in a month.

Let's say you plan on visiting the amusement park X number of times in a month:

If you pay per visit without the membership:
Total cost = $28 X

If you purchase the monthly membership and pay $15 per visit:
Total cost = $90 + ($15 X)

To determine if the membership is worth it for you, you need to compare the total cost of both options. If the total cost with the membership is less than paying per visit, then the membership is a better deal.

So, you need to solve the following inequality:

$90 + ($15 X) < $28 X

Simplifying the inequality:

$90 < $28 X - $15 X
$90 < $13 X
X > $90 / $13
X > 6.92

Since you cannot visit the amusement park a fraction of a time, you would need to round up to the nearest whole number. Therefore, if you plan on visiting the amusement park 7 times or more in a month, it would be more cost-effective to purchase the monthly membership and pay $15 per visit.