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The equation given is \( y = 32x + 300 \), where:

- \( y \) represents the total amount of water in the pond (in liters),
- \( x \) represents the total number of minutes that water has been added.

The two questions are:

1. **What was the starting amount of water in the pond?**

   The starting amount of water refers to the value of \( y \) when \( x = 0 \) (i.e., before any water was added). To find this, substitute \( x = 0 \) into the equation:
   \[
   y = 32(0) + 300 = 300 \, \text{liters}.
   \]
   So, the starting amount of water in the pond was **300 liters**.

2. **What is the change per minute in the amount of water in the pond?**

   The change per minute refers to the rate of change of \( y \) with respect to \( x \). This is the coefficient of \( x \) in the equation, which is **32 liters per minute**.

Would you like further clarification on any of these answers?

Here are some follow-up questions you might find useful:

1. If 10 minutes have passed, how much water is in the pond?
2. What would the equation be if the starting amount was 500 liters instead?
3. After how many minutes will the pond contain 1,000 liters of water?
4. What is the total amount of water in the pond after 5 minutes?
5. What happens to the total amount of water if the flow rate changes to 50 liters per minute?

**Tip**: In equations like these, the coefficient of \( x \) represents the rate of change (slope), while the constant represents the initial value.

Owners of a recreation area are filling a small pond with water. Let y represent the total amount of water in the pond (in liters). Let x represent the total number of minutes that water has been added. Suppose that x and y are related by the equation 32x + 300 = y. What was the starting amount of water in the pond? What is the change per minute in the amount of water in the pond?

Learn how to solve a linear equation representing the amount of water in a pond over time. This problem involves the equation y = 32x + 300, where y represents the water volume, and x represents the minutes of water addition. Suitable for students in Grades 7-9.

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