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III. Math Problem (10 points)

A tank initially contains 300 liters of water. It loses 20 liters of water per minute and has a valve at the bottom that is gradually letting in 5 liters per minute. The total amount of water in the tank at any given time is given by the formula:
$W(t) = 300 - 20t + 5t$

1. Explain why the formula is written this way.
2. Describe what each part of the formula represents.
3. When will the tank be empty?
4. Verify the formula by checking the value for $t = 0$, $t = 10$, and $t = 20$.

Instructions: Answer all questions completely and show your work.

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