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The problem describes a kitchen sink that starts with 18,000 mL of water and is drained at a rate of 400 mL per minute. We need to determine which equation correctly represents this situation.

### Key points:
- Initial water volume: 18,000 mL.
- Water is being drained (i.e., the volume is **decreasing**) at 400 mL per minute.
- Let \( V \) represent the volume of water in the sink at time \( t \) (in minutes).

The rate at which water is being drained is \( 400 \, \text{mL/min} \), so the volume decreases by 400 mL for each minute that passes. This results in a **negative slope** in the equation.

### General form of a linear equation:
\[ V(t) = \text{initial volume} - (\text{rate of draining}) \times t \]

So, the equation is:
\[ V = 18000 - 400t \]

This corresponds to **option A** in the list.

Would you like further details on how to interpret the linear relationship or have any questions? Here are five related questions you could explore:

1. How would the equation change if the rate of drainage were different?
2. What happens to the volume of water after 30 minutes?
3. How long would it take for the sink to completely empty?
4. How could you model the reverse situation where water is filling the sink instead of being drained?
5. Can you graph this relationship and explain its slope and intercept?

**Tip**: When solving word problems, always carefully analyze the units (e.g., mL, minutes) and whether quantities are increasing or decreasing.

A kitchen sink starts with 18,000 mL of water in it. Water is drained out of it at 400 mL per minute. Which of the following shows the linear relationship of the sink being emptied?

Learn how to calculate the volume of water drained from a kitchen sink. The problem involves a linear equation that models the rate of drainage over time, ideal for students in Grades 7-9.

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