A tank contains 24 gallons of water when all of a sudden the water begins draining at a constant rate of 2 gallons per hour. Let t represent the number of hours since the water began draining and let v represent the volume of water in the tank. Required:
a. Write a formula that expresses v in terms of t.
b. As t increases from 3 to 6, v varies from to

a)

b) As t increases from 3 to 6, v varies from 18 gallons to 12 gallons.

Step-by-step explanation:

The volume of the tank in terms of the time can be described by the following equation:

In which V(0) is the initial volume and a is the hourly decrease rate.

a. Write a formula that expresses v in terms of t.

The tank initially contains 24 gallons of water, which means that

Drains at a constant rate of 2 gallons per hour, so

Then

b. As t increases from 3 to 6, v varies from _________ to _________

So as t increases from 3 to 6, v varies from 18 gallons to 12 gallons.

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step-by-step explanation:

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