a swimming pool is being drained at a constant rate of 15 gallonds the pool initally holds 1200 gallons of water. which eqation represents

We are dealing with a pool that initially contains 1,200 gallons of water, and it is being drained at a constant rate of 15 gallons per minute. To represent this situation mathematically, we can form a linear equation where:

- The initial amount of water in the pool is 1,200 gallons.
- The draining rate is 15 gallons per minute (i.e., the water level decreases by 15 gallons for every minute).

Let \( t \) represent the time (in minutes) that the pool has been draining, and \( W(t) \) represent the amount of water left in the pool after \( t \) minutes.

The equation is:

\[
W(t) = 1200 - 15t
\]

### Explanation:
- \( 1200 \): The initial amount of water in the pool.
- \( -15t \): This represents the decrease in water after \( t \) minutes at a rate of 15 gallons per minute.

Would you like further details or have any questions?

### Related Questions:
1. How long will it take to completely drain the pool?
2. What is the water level after 30 minutes of draining?
3. If the draining rate was doubled, what would the new equation be?
4. What would the equation look like if the pool started with 2,000 gallons instead?
5. How can we graph this equation, and what does the slope represent?

### Tip:
Always identify the initial value and the rate of change when forming a linear equation.

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 this situation?

Discover how to represent the draining of a pool holding 1,200 gallons of water at a rate of 15 gallons per minute with a linear equation. Learn key algebraic concepts, including how to model real-world scenarios using linear equations. Suitable for students in Grades 6-8.

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