Slope and y-intercepts Practice

Question

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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=
, and the rate of change is m=
.

Answer 1

In the given scenario:

• The initial value (b) represents the amount of water in the tank at the start, which is when it's half full. Since the tank holds 2,000 gallons and is currently half full, the initial value is: \[ b = 1000 \text{ gallons} \]

• The rate of change (m) indicates how much the amount of water in the tank increases over time. Here, 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 to summarize:

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