Question

Interpreting a Linear Equation At 12:00 P.M. the volume of water in a tank started changing steadily over time. The volume "V" measured in gallons, "t" minutes after the water volume started to change is given by the equation V=14900+7.45t. The equation tells us that the volume of water in the tank was initially ??? gallons, and that the volume is either "Increasing???" or "decreasing???" by ??? gallons per minute.

Answer 1

The equation tells us that the volume of water in the tank was initially 14900 gallons, and that the volume is Increasing by 7.45 gallons per minute.

Step-by-step explanation

If the volume "V" measured in gallons, "t" minutes after the water volume started to change is given by the equation V = 14900 + 7.45t.

At time, t = 0 minute

The volume of water in the tank will be V = 14900 + 7.45(0) = 14900 gallons.

Since the time is increasing, the volume of water in the tank will also be increasing.

At t = 1 minute

The rate of increase will be 7.45 per minute will be equivalent to 7.45(1)

At t = 2 minutes,

The rate of increase will be 7.45 per minute will be equivalent to 7.45(2)

Hence, the rate of increase is 7.45 gallons per minute.

In summary, the equation tells us that the volume of water in the tank was initially 14900 gallons, and that the volume is Increasing by 7.45 gallons per minute.