A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per minute. The amount of water, w

Question

(in gallons), in the pool after t
minutes is given by the function w=45,000−100t
.

How many minutes will it take to empty the pool?

Answer 1

To find out how many minutes it will take to empty the pool, we need to determine when the amount of water \( w \) in the pool equals zero.

We start with the equation provided:

\[ w = 45,000 - 100t \]

We set \( w \) to zero to find \( t \):

\[ 0 = 45,000 - 100t \]

Now, we can solve for \( t \):

\[ 100t = 45,000 \] \[ t = \frac{45,000}{100} \] \[ t = 450 \]

So, it will take 450 minutes to empty the pool.