Question

There are 10 gallons of water in a tank. Each minute, 4 more gallons are added. The volume of the water in a tank after t minutes is V (gallons). What is the formula for the dependence of V on t (t≤10)? Determine if it defines a linear function.

Answer 1

answer: V=4t+10

This is because you already have 10 gallons in the tank (it specifically says that this is happening at most 10 minutes after the tank starts filling up), and each minute you add 4 gallons, for 4t

Answer 2

For this case, the first thing we should do is define a variable.

We have then:

• t: number of minutes
• V: total volume

We write the linear equation that models the problem.

We know that:

1. There are 10 gallons of water
2. Each minute, 4 more gallons are added

Therefore, the equation modeling the problem is given by:

`V (t) = 4t + 10`

The formula defines a linear relationship.

Answer:

`V (t) = 4t + 10`

The formula defines a linear relationship.