Question

A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
Each minute, the faucet allows 10 gallons of water to enter the pool, and the drain allows 12 gallons to leave the pool.
What is the change in the amount of water in the pool after 1 minutes?
Enter your answer as a simplified mixed number by filling in the boxes

Answer 1

The change in amount of water in the pool after 1 min is 2 gallons.

Since water enters the large pool at pool at 10 gallons every minute, the rate in = 10 gal/min.

Also, water drains from the pool at 12 gallons every minute, the rate out = 12 gal/min.

So, the net rate of change of water in the large pool is rate in - rate out = 10 gal/min - 12 gal/min = -2 gal/min(the negative indicates that the water is draining).

So, the net change in the amount of water after 1 min = net rate of change × 1 min = - 2 gal/min × 1 min = -2 gal.(negative since its draining)

So, the change in amount of water in the pool after 1 min is 2 gallons.

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