Nora is throwing a pool party to kick off the summer. Her pool is empty, so she starts filling it with water from a garden hose.

The graph shows the proportional relationship between the time Nora has been filling up the pool (in minutes), 

*x*,

 and the volume of water in the pool (in gallons), 

*y*.

It sounds like you're describing a scenario where Nora is filling her pool and you have a graph that represents the proportional relationship between time (in minutes) and the volume of water (in gallons) being filled. This graph can help us understand how fast the pool is filling, known as the rate of change.

Here’s how we can interpret the scenario mathematically:

1. **Proportional Relationship:** Since this is a proportional relationship, we know that \( y = kx \), where:
   - \( y \) represents the volume of water in gallons,
   - \( x \) represents the time in minutes,
   - \( k \) is the constant of proportionality, or the rate at which water is being added (in gallons per minute).

To proceed:
- If you have the graph available, it would show points like \((x_1, y_1)\), where \(x_1\) is the time and \(y_1\) is the volume of water.
- The slope of the line on the graph would give us the constant rate at which water is filling the pool.

Would you like to upload the graph or provide more details (such as two points on the graph) so we can calculate the rate at which the pool is filling and solve further?

### Follow-up Questions:
1. Do you have the specific graph or points on the graph?
2. Do you know how long it takes to fill the pool completely?
3. What is the capacity of the pool in gallons?
4. Do you know how much water has been filled after a specific number of minutes?
5. Is the hose the only source of water?

### Tip:
If the relationship is proportional, the line on the graph will pass through the origin (0,0), which means when 0 minutes have passed, the volume of water is 0 gallons.

Nora is throwing a pool party to kick off the summer. Her pool is empty, so she starts filling it with water from a garden hose. The graph shows the proportional relationship between the time Nora has been filling up the pool (in minutes), x, and the volume of water in the pool (in gallons), y.

Explore the proportional relationship between time and water volume as Nora fills her pool with a garden hose. Learn how to calculate the rate of change, understand the linear function y = kx, and interpret a graph representing gallons per minute. Suitable for students in Grades 6-8.

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