https://file.aiquickdraw.com/mathbot/file/1727963602136szaibr88.jpg

Let's break down the problem from the graph provided.

We are asked to find **the domain** and **the range** of the function, where the graph shows how the amount of water in the pond changes over time.

### 1. **Domain** (x-values):
The domain represents the possible values of time in minutes. From the graph:
- The time (x-axis) starts at \(0\) and goes up to about \(140\) minutes.
Thus, the domain of the function is:
\[
0 \leq x \leq 140
\]
This means the time is between \(0\) and \(140\) minutes, inclusive.

### 2. **Range** (y-values):
The range represents the possible values of the amount of water in the pond (y-axis). From the graph:
- The amount of water starts at around \(300\) liters (at \(x = 0\)) and goes up to around \(1350\) liters (at \(x = 140\)).
Thus, the range of the function is:
\[
300 \leq y \leq 1350
\]
This means the amount of water in the pond is between \(300\) and \(1350\) liters, inclusive.

### Final Answer:
- **Domain:** \(0 \leq x \leq 140\)
- **Range:** \(300 \leq y \leq 1350\)

Would you like further details on interpreting these results or explanations on inequalities?

### Relative questions:
1. How can the slope of the line on the graph be interpreted in this context?
2. What does the y-intercept (300 liters) tell us about the initial condition of the pond?
3. If the filling process were to continue beyond 140 minutes, how would the domain and range change?
4. How would we model this situation using a linear equation?
5. How can you find the rate at which water is being added from the graph?

**Tip:** The domain refers to the input values (independent variable) of a function, while the range refers to the output values (dependent variable).

The owners of a recreation area filled a small pond with water in 140 minutes. The pond already had some water at the beginning. The graph shows the amount of water (in liters) in the pond versus time (in minutes). Find the domain and range of the function shown.

Solve a linear graph problem showing the amount of water in a pond over time. The graph spans 140 minutes with a range from 300 to 1350 liters. Learn how to find the domain and range for this scenario, suitable for Grades 8-10.

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