https://file.aiquickdraw.com/mathbot/file/1728004669531uj0eywu0.jpg

The problem involves setting up an inequality to represent the ticket sales at a zoo, where the goal is to make at least $800 in revenue on a Saturday. Let $ x $ represent the number of adult tickets sold, and $ y $ represent the number of child tickets sold.

### Given:
- Price of an adult ticket: \$9.50
- Price of a child ticket: \$6.50
- Desired revenue: at least \$800

The revenue from selling $ x $ adult tickets and $ y $ child tickets is:
\[
\text{Revenue} = 9.50x + 6.50y
\]

Since the manager wants to make **at least** \$800, we need to set up an inequality for the revenue:
\[
9.50x + 6.50y \geq 800
\]

This corresponds to option **A** in the image:
\[
9.50x + 6.50y \geq 800
\]

Would you like any more details or have any questions about this problem?

---

Here are five related questions to expand your understanding:

1. How would the inequality change if the manager only needed to make more than $800 instead of at least $800?
2. How many adult tickets must be sold if no child tickets are sold to meet the $800 goal?
3. What would the inequality look like if child tickets were priced at $5 instead of $6.50?
4. If the zoo manager expects to sell twice as many child tickets as adult tickets, how could you express this in the inequality?
5. What happens to the inequality if the goal increases to $1,000 in revenue?

### Tip:
When solving inequalities with two variables, it's useful to graph them to visually interpret the solutions.

The manager of the zoo, where the ticket price for an adult is $9.50 and the ticket price for a child is $6.50, wants to make at least $800 on a Saturday. Let x be the number of adult tickets and y be the number of child tickets. Choose the inequality that shows the number of tickets that need to be sold.

Learn how to solve an inequality involving the ticket prices at a zoo where adult tickets cost $9.50 and child tickets cost $6.50. The manager aims to make at least $800 on a Saturday. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation