Question

jen is draininging water out of her 50-gallon fish tank.the water is draining at a rate of 3/4 gallon per minute.At time t=0 minutes,karen start draining the full tank.Show the volume V of water in the tank at time t.

Answer 1

We need to find the amount of water remaining at t = 2 , 3, and 4.

Water flows at a rate 3/4 gallon per minute.

2nd minute, water goes out by (3/4)*2 = 3/2 gallons

3rd minute, water goes out by (3/4)*3 = 9/4 gallons

4th minute, water goes out by (3/4)*4 = 3 gallons

Remaining volume at t = 2, 3, and 4:

Volume at t = 2 minutes:

$50-\frac{3}{2}=48\frac{1}{2}\text{ gallons}$

Volume at t = 3 minutes:

$50-\frac{9}{4}=47\frac{3}{4}\text{ gallons}$

Volume at t = 4 minutes:

$50-3=47\text{ gallons}$