Question

a swimming pool is being drained at a constant rate of 15 gallons per minute. the pool initially contains 300 gallons of water. write an equation that represents the amount of water, w, in the pool after m minutes.

Explanation:

Step1: Identify initial - amount and rate

The initial amount of water is 300 gallons and the rate of draining is 15 gallons per minute.

Step2: Set up the linear - equation

The amount of water \(w\) in the pool after \(m\) minutes is the initial amount minus the amount drained. The amount drained in \(m\) minutes is \(15m\). So the equation is \(w = 300-15m\).

Answer:

\(w = 300 - 15m\)