https://file.aiquickdraw.com/mathbot/file/17285938854185ptq6utr.jpg

In this problem:

1. A 900-gallon tank is draining at a rate of 30 gallons per minute.
2. You need to:
   - **(a)** Write a formula for the amount of water, \( W(t) \), in the tank after \( t \) minutes.
   - **(b)** Determine how much water remains after 7 minutes.

Let's go step by step:

### (a) The formula for the water left after \( t \) minutes:
The tank starts with 900 gallons, and it loses 30 gallons per minute. The amount of water left at time \( t \) minutes is:

\[
W(t) = 900 - 30t
\]

This is the correct formula provided in the image.

### (b) How much water is left after 7 minutes?

Using the formula \( W(t) = 900 - 30t \), substitute \( t = 7 \):

\[
W(7) = 900 - 30 \times 7 = 900 - 210 = 690 \, \text{gallons}
\]

So, after 7 minutes, the tank contains **690 gallons** of water.

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Do you want more details or have any other questions? Here are 5 related questions:

1. How would the formula change if the drainage rate was 40 gallons per minute?
2. How long will it take for the tank to be completely empty?
3. If the tank starts half-full, what would the new function be?
4. What is the rate of change in the amount of water over time?
5. Can you express this scenario graphically and explain what the graph would look like?

**Tip:** The slope in this context represents the rate of water being drained, and the y-intercept is the initial amount of water.

A 900-gallon tank is initially full of water and is being drained at a rate of 30 gallons per minute. Write a formula for a linear function W(t) that gives the number of gallons of water in the tank after t minutes. How much water is in the tank after 7 minutes?

Learn how to create and use a linear function W(t) = 900 - 30t to calculate the amount of water left in a 900-gallon tank after t minutes, draining at 30 gallons per minute. Find out how much water is left after 7 minutes.

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