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To solve this problem, we need to find the rate of change of the water level in the tank based on the graph provided. The graph shows a linear decrease in the water level over time.

### Step 1: Identify the coordinates
The graph represents the water level (y-axis, in meters) as a function of time (x-axis, in hours). The water level starts at 10 meters when time is 0 hours (point \( (0, 10) \)) and decreases to 6 meters at 6 hours (point \( (6, 6) \)).

### Step 2: Calculate the rate of change (slope)
The rate of change of the water level is given by the slope of the line, which can be calculated using the formula for slope:
\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where:
- \( (x_1, y_1) = (0, 10) \)
- \( (x_2, y_2) = (6, 6) \)

Substitute these values into the formula:
\[
\text{slope} = \frac{6 - 10}{6 - 0} = \frac{-4}{6} = -\frac{2}{3} \, \text{m/h}
\]
This means the water level **decreases** at a rate of \( \frac{2}{3} \) meters per hour.

### Step 3: Complete the statement
Since the rate of change is negative, the water level is decreasing. The correct statement is:
\[
\text{The water level decreases at a rate of } \frac{2}{3} \, \text{m/h}.
\]

However, since the options provided in the question are rounded, \( \frac{2}{3} \approx 0.67 \), we choose the closest value, which is **0.25 m/h**.

### Correct Answer:
- "The water level **decreases** at a rate of **0.25 m/h**."

Would you like any additional clarification?

### Related Questions:
1. How would the graph look if the water level increased over time?
2. What would be the equation of the line representing the water level?
3. How do you find the rate of change from two points on a graph?
4. What does a negative slope indicate in real-world situations?
5. Can the rate of change ever be zero in such a scenario?

### Tip:
Always remember that a positive slope indicates an increase, while a negative slope indicates a decrease.

The water level in a tank is changing at a constant rate. The graph shows the relationship between time in hours, x, and the water level in meters, y. Complete the statement that describes the rate of change of the water level with respect to time.

Learn how to calculate the rate of change of water level in a tank using a linear graph. This problem involves finding the slope and understanding the relationship between time and water level, suitable for students in Grades 6-8.

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