A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $16.75, and tickets cost $20.25 per person, including tax. Which inequality can be used to determine xx, the maximum number of people who can go to the amusement park?
Answer
Multiple Choice Answers
16, point, 7, 5, plus, 20, point, 2, 5, x, is greater than or equal to, 12516.75+20.25x≥125
20, point, 2, 5, left parenthesis, x, plus, 16, point, 7, 5, right parenthesis, is greater than or equal to, 12520.25(x+16.75)≥125
20, point, 2, 5, left parenthesis, x, plus, 16, point, 7, 5, right parenthesis, is less than or equal to, 12520.25(x+16.75)≤125
16, point, 7, 5, plus, 20, point, 2, 5, x, is less than or equal to, 12516.75+20.25x≤125

We need to determine an inequality that represents the cost of parking and tickets while keeping the total expenditure at or below $125.

### Breakdown:
- Parking costs **$16.75**.
- Each ticket costs **$20.25** per person.
- Let **x** be the number of people.

The total cost consists of:
- A fixed cost of **$16.75** for parking.
- A variable cost of **$20.25** for each person (since the tickets are $20.25 per person).

Thus, the total cost is:
\[
\text{Total cost} = 16.75 + 20.25x
\]

Since the total expenditure cannot exceed $125, we set up the inequality:
\[
16.75 + 20.25x \leq 125
\]

This inequality can now be used to determine the maximum number of people who can go to the amusement park.

### Answer:
The correct inequality is:
\[
16.75 + 20.25x \leq 125
\]

This matches the last option in your multiple-choice list:
\[
\boxed{16.75 + 20.25x \leq 125}
\]

Would you like to see how to solve this inequality, or do you have any questions?

Here are 5 related questions:
1. How do you solve the inequality $16.75 + 20.25x \leq 125$ to find the maximum number of people?
2. What happens if the parking cost increases to $20? How would the inequality change?
3. What if only 5 people can go? How much would they spend?
4. Can inequalities like this be graphed? What would the graph look like?
5. How does the solution change if the total budget increases to $150?

**Tip**: When solving inequalities, remember to reverse the inequality symbol if you multiply or divide both sides by a negative number!

A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $16.75, and tickets cost $20.25 per person, including tax. Which inequality can be used to determine xx, the maximum number of people who can go to the amusement park?

Learn how to solve an inequality for a group of friends planning a trip to the amusement park with a budget of $125. The problem involves calculating the maximum number of people based on parking and ticket prices using basic algebraic concepts. Suitable for students in Grades 6-8.

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