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

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

GPT-4o mini · Answer

In the given scenario: - The **initial value** $ b $ is the amount of water in the tank at the beginning. Since the tank is half full with 1,000 gallons of water, we have: $$ b = 1000 \text{ gallons} $$ - The **rate of change** $ m $ represents the rate at which the water is being added to the tank. Since water is being pumped into the tank at a rate of 15 gallons per minute, we have: $$ m = 15 \text{ gallons per minute} $$ Thus, the initial value $ b $ is 1000 gallons, and the rate of change $ m $ is 15 gallons per minute.