A swimming pool is being drained at a constant rate of 15
 gallons per minute. The pool initially holds 1,200
 gallons of water.

Which equation represents the amount of water, g
, left in the pool after t
 minutes?
A.t=−15g+1,200

B.g=15t−1,200

C.g=−15t+1,200

D.t=15g+1,200


To determine the equation representing the amount of water left in the pool after \( t \) minutes, we need to consider the rate at which the pool is being drained and the initial amount of water.

### Given:
- The pool is initially filled with 1,200 gallons of water.
- It is being drained at a constant rate of 15 gallons per minute.

### Explanation:
The amount of water decreases by 15 gallons every minute, so the rate of change is -15 gallons per minute. We start with 1,200 gallons, and the amount of water \( g \) left in the pool after \( t \) minutes can be calculated using the equation:

\[
g = 1,200 - 15t
\]

This can also be rewritten as:

\[
g = -15t + 1,200
\]

Thus, the correct answer is:

**C. \( g = -15t + 1,200 \)**

### Do you want details or have any questions?

### 5 Related Questions:
1. How would the equation change if the draining rate was 20 gallons per minute?
2. What would the equation look like if the pool was initially filled with 2,000 gallons of water?
3. How long would it take to drain the entire pool?
4. What would be the equation if the pool was being filled at 15 gallons per minute instead?
5. How can we find out how much water is left after 30 minutes?

### Tip:
When dealing with rate problems, always identify whether the quantity is increasing or decreasing and note the initial value carefully.

A swimming pool is being drained at a constant rate of 15 gallons per minute. The pool initially holds 1,200 gallons of water. Which equation represents the amount of water, g, left in the pool after t minutes?

Learn how to solve a pool draining problem where water is drained at 15 gallons per minute from an initial 1,200 gallons. This problem covers key algebra concepts, including linear equations and rates of change. Suitable for students in Grades 6-8.

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