Question

staci has a 20-gallon fish tank that she is using a faucet to fill.Water comes out of the faucet at a rate of 2.5 gallons per minute.Complete the table below to show the volume of water (V) in tank after t minutes.

Answer 1

First, take into account that the water is coming into the tank at a constant rate. This means that every minute that passes we have 2.5 gallons more.

At first, we are told that the tank is empty, we have 0 gallons. After one minute, there will be 2.5 gallons.

After two minutes, another 2.5 gallons would be poured into the tank, so we will have 2.5 + 2.5 = 2*(2.5) =5 gallons.

After three minutes, another extra 2.5 gallons would be added, so we would have 2.5+2.5+2.5=3*(2.5)=7.5 gallons.

Using this, we can generalize that after t minutes we wolud have

$V(t)=2.5\cdot t$

gallons.

Now, using this, we can complete the table as follows

t V

0 0

1 2.5

2 5

3 7.5

4 10

5 12.5