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=
.
Remaining Attempts : 3

Answer 1

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

• Initial Value (b): This represents the amount of water in the tank at the start. Since the tank is half full, initially there are 1,000 gallons of water. Therefore, \( b = 1000 \).

• Rate of Change (m): This refers to the rate at which water is being added to the tank over time. Water is being pumped into the tank at a rate of 15 gallons per minute. Therefore, \( m = 15 \).

So, in conclusion:

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