https://file.aiquickdraw.com/mathbot/file/1729079320234tb8y45vn.jpg

The situation described in the problem is as follows:

- Nina starts with 75 liters of water.
- She uses 5 liters each week.
- She continues until her rain barrel is empty.

We can model this with a linear equation, where:
- The initial amount of water is 75 liters (at week 0).
- The rate of water usage is 5 liters per week.

To find out how many weeks it will take to empty the barrel, we divide the initial amount by the usage rate:
\[
\frac{75 \text{ L}}{5 \text{ L/week}} = 15 \text{ weeks}.
\]
This means that after 15 weeks, the barrel will be empty.

Now, we need to find the correct sketch that matches this situation:
- The initial point (week 0) should be 75 liters (not 5 or 15).
- The final point (week 15) should be 0 liters.

Looking at the graphs in the image, the bottom-right graph correctly represents this situation, with the point (0, 75) indicating 75 liters at week 0 and the point (15, 0) indicating the barrel is empty at week 15.

Thus, **the correct graph is the bottom-right option**.

Would you like further details or have any questions?

Here are five questions to deepen your understanding:
1. How would the graph change if Nina used 10 liters per week?
2. Can you create an equation that models the amount of water left after \(t\) weeks?
3. What if Nina refilled the barrel every 5 weeks? How would that change the graph?
4. How would the graph look if the initial amount of water was 100 liters instead of 75?
5. How can you use this graph to predict how much water will be left after 10 weeks?

**Tip:** When interpreting graphs, always check the units and scales on both axes to ensure they match the scenario.

Every week, Nina used 5 L of water from her rain barrel to water her plants. She did this until her rain barrel was empty. When Nina first started watering, her rain barrel contained 75 L of water. Which sketch represents this situation?

This problem involves determining the correct graph for Nina's water usage over time, modeled by a linear equation. Starting with 75 liters and using 5 liters per week, the graph demonstrates the relationship between weeks and water remaining. Suitable for Grades 6-8 students, focusing on linear functions and rates of change.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation