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The problem describes a 600-gallon tank that is being drained at a rate of 60 gallons per minute. We are asked to write a linear function \( W(t) \) that gives the amount of water in the tank after \( t \) minutes.

### Key Points:
- Initially, the tank contains 600 gallons of water.
- Water is being drained at 60 gallons per minute.

### Step-by-step:
The general form of a linear equation is:

\[
W(t) = W_0 - r \cdot t
\]

Where:
- \( W(t) \) is the amount of water after \( t \) minutes.
- \( W_0 \) is the initial amount of water, which is 600 gallons.
- \( r \) is the rate at which the water is being drained, which is 60 gallons per minute.
- \( t \) is the time in minutes.

Thus, the formula becomes:

\[
W(t) = 600 - 60t
\]

This is the linear function that gives the number of gallons of water remaining in the tank after \( t \) minutes.

Would you like more details or have any questions?

### Related Questions:
1. How long will it take to completely empty the tank?
2. What is the rate of change in the water level per minute?
3. How much water is left after 5 minutes?
4. Can you plot the function \( W(t) \) for a visual understanding?
5. What happens to the function if the draining rate changes?

**Tip:** When writing a linear function, always identify the initial value and the rate of change to create an accurate equation.

A 600-gallon tank is initially full of water and is being drained at a rate of 60 gallons per minute. Write a formula for a linear function W that gives the number of gallons of water in the tank after t minutes.

Understand how to write a linear function to model a water tank being drained. This example involves a 600-gallon tank draining at a rate of 60 gallons per minute. Learn the step-by-step process to formulating the equation W(t) = 600 - 60t.

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