Eddie notices that 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. Move the correct answer to each box.

The water level  at a rate of  m/h.

To complete the statement about the rate of change of the water level with respect to time, we need to determine whether the water level is increasing or decreasing and by how much per hour.

1. **Identify the nature of the rate of change:**
   - If the graph shows a line with a positive slope, the water level is increasing.
   - If the graph shows a line with a negative slope, the water level is decreasing.

2. **Calculate the rate of change (slope):**
   - The rate of change is calculated by finding the slope of the line, which is \(\text{slope} = \frac{\Delta y}{\Delta x} = \frac{\text{change in water level (m)}}{\text{change in time (h)}}\).

Given these steps, the statement will be:

**The water level (increases/decreases) at a rate of \( \text{X} \) m/h.**

You need to insert the correct action (increases or decreases) and the rate of change in meters per hour.

If you have the graph, you can share it, and I can help you calculate the exact rate. Otherwise, with general information, you can choose the options based on the graph you see.

---

Would you like more details or have any questions? Here are 5 related questions that might interest you:

1. How do you calculate the slope from two points on a graph?
2. What does a zero slope on a graph signify about the water level?
3. How would the graph look if the water level was increasing at a faster rate?
4. What are some real-life scenarios where the rate of change is important?
5. How can you determine if a graph is linear or nonlinear just by looking at it?

**Tip:** Always check whether the slope is positive or negative to determine if the function is increasing or decreasing.

Eddie notices that 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. Move the correct answer to each box. The water level at a rate of m/h.

Learn how to calculate the rate of change in water level with respect to time using a linear graph. This problem involves understanding key algebraic concepts like linear equations and the slope formula. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation