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

1. Initial Value (b): The initial amount of water in the tank is 1,000 gallons since the tank is half full. Therefore, \( b = 1000 \).

2. Rate of Change (m): Water is being pumped into the tank at a rate of 15 gallons per minute. This represents the rate of change of the amount of water in the tank. Therefore, \( m = 15 \).

In summary:

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