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In this problem, you are working with a proportional relationship between time, \( x \) (in minutes), and the volume of water in a pool, \( y \) (in gallons). The graph shows the relationship as a straight line, which suggests that the volume of water increases at a constant rate over time.

To write an equation for this proportional relationship, we typically use the form:
\[
y = kx
\]
where \( k \) is the constant of proportionality (or the unit rate, which represents the number of gallons filled per minute).

### Steps to solve:
1. **Find the slope**: Identify two points on the graph to calculate the slope (which will be the constant \( k \)).
2. **Write the equation**: Once you know the slope, you can substitute it into the equation \( y = kx \).

Let me know if you would like help analyzing the graph further or if you'd like me to extract specific points from the graph to calculate \( k \).

Do you want more details, or do you have questions on this problem?

Here are 5 related questions:
1. How do you calculate the constant of proportionality from a graph?
2. What would the equation look like if Gabby fills the pool twice as fast?
3. How would the graph change if the pool started with some water already in it?
4. How can you check if the relationship between two quantities is proportional?
5. What happens to the equation if you measure time in hours instead of minutes?

**Tip:** A proportional relationship always passes through the origin (0,0), where both quantities are zero.

Gabby is filling an empty pool with water using a garden hose. The relationship between time (in minutes) and volume of water (in gallons) is proportional. Write the equation representing this relationship based on the graph provided.

Learn how to write an equation for a proportional relationship where Gabby fills a pool using a garden hose. This problem involves calculating the constant of proportionality based on time (minutes) and volume (gallons). Suitable for Grade 7 students.

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