Determine the initial value and the rate of change in the following description. A 2,000-gallon tank is half full with 1,000 gallons of water. Water is being pumped into the tank at a rate of 15 gallons per minute.(1 point)

Question

The initial value is b=
, and the rate of change is m=

Answer 1

In the given scenario, we can identify the initial value and the rate of change as follows:

• Initial Value (b): The initial value represents the starting quantity of water in the tank. Since the tank is half full with 1,000 gallons of water, the initial value is: \[ b = 1000 \text{ gallons} \]

• Rate of Change (m): The rate of change represents how quickly the quantity of water in the tank is changing over time. In this case, water is being pumped into the tank at a rate of 15 gallons per minute. Therefore, the rate of change is: \[ m = 15 \text{ gallons per minute} \]

So, the final answers are:

• The initial value is \( b = 1000 \) gallons.
• The rate of change is \( m = 15 \) gallons per minute.