A group of friends wants to go to the amusement park. They have no more than $480 to spend on parking and admission. Parking is $8.75, and tickets cost $15.50 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?

We are given the following costs:
- Parking costs $8.75.
- Tickets cost $15.50 per person, including tax.
- The group has no more than $480 to spend.

Let $ p $ represent the number of people who will attend the amusement park.

### Total cost for parking and tickets:
- Parking is a fixed cost of $8.75.
- The cost for $ p $ people is $ 15.50p $ (because each ticket costs $15.50).

The total cost is the sum of the parking fee and the ticket costs for $ p $ people:
\[
8.75 + 15.50p
\]

Since the group has no more than $480 to spend, the total cost must be less than or equal to 480:
\[
8.75 + 15.50p \leq 480
\]

### The inequality that represents the situation is:
\[
15.50p + 8.75 \leq 480
\]

Would you like further explanation on how to solve this inequality or any other clarifications?

Here are 5 related questions to explore this further:
1. How can we solve the inequality to find the maximum number of people who can attend?
2. What happens if the group can spend more or less than $480?
3. How would the inequality change if the ticket price increased by 10%?
4. What would happen if parking was free, how would that affect the maximum number of people?
5. If the ticket price for children was half the price, how many adults and children could go?

**Tip:** When dealing with inequalities, always make sure to reverse the inequality sign when multiplying or dividing by a negative number.

A group of friends wants to go to the amusement park. They have no more than $480 to spend on parking and admission. Parking is $8.75, and tickets cost $15.50 per person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?

Learn how to use an inequality to determine the maximum number of people who can go to an amusement park given a total budget of $480, with a parking fee of $8.75 and a ticket price of $15.50 per person. This problem helps develop skills in linear inequalities and algebra, suitable for Grades 6-8 students.

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