Let's define the variable $x$ as the number of people who can go to the amusement park.

The total cost for parking is $15. Each person’s admission ticket costs $25. Therefore, the total cost for $x$ people is the sum of the parking fee and the cost of the tickets.

The inequality representing the total cost should not exceed $115, so we have:

$15 + 25x \leq 115$

Now, solve the inequality for $x$:

1. Subtract 15 from both sides:

$25x \leq 100$

2. Divide both sides by 25:

$x \leq 4$

Thus, the maximum number of people who can go to the amusement park is 4.

Conclusion:

At most, 4 people can go to the amusement park without exceeding $115.

Would you like more details or further explanation? Here are five related questions for practice:

1. What would the inequality be if parking were free?
2. How much would it cost if 3 people went to the amusement park?
3. What if the total budget was $150 instead of $115?
4. How would the inequality change if the ticket price increased to $30?
5. How would you solve if there was a $10 discount on the total cost?

Tip: When solving inequalities, always keep track of how operations affect the inequality symbol, especially when multiplying or dividing by negative numbers.