https://file.aiquickdraw.com/mathbot/file/17292762523960fv8kyas.jpg

The table shows a linear decrease in the amount of water in the pool over time:

- At time \( t = 0 \), the water volume is 18,500 gallons.
- At time \( t = 1 \), it decreases to 17,000 gallons.
- At time \( t = 2 \), it further decreases to 15,500 gallons.
- At time \( t = 3 \), it is down to 14,000 gallons.

The decrease in water is constant, dropping by 1,500 gallons each hour (calculated as \( 18,500 - 17,000 = 1,500 \)).

The initial value in a linear function is the amount present at \( t = 0 \). Here, it represents the pool's starting volume of 18,500 gallons. Thus, the correct answer is:
- **"The pool contains 18,500 gallons of water before it is drained."**

Would you like further details or have any questions?

Here are some related questions:
1. How would you determine the equation of this linear function?
2. What does the slope represent in this context?
3. How long would it take for the pool to be completely empty?
4. How would the equation change if the water drained at 2,000 gallons per hour instead?
5. How does changing the initial amount of water affect the graph of the function?

**Tip:** The slope of a linear function indicates the rate of change, showing how much the dependent variable changes for each unit increase in the independent variable.

What does the initial value mean for this function? The table shows the amount of water left in a pool over time as it is being drained. The table represents a linear function.

Learn how to interpret the initial value in a linear function with a pool drainage problem. The table shows the water left in a pool over time, starting at 18,500 gallons. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation