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Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 30 liters per minute. How long will it take to fill the pond completely?

Answer :

Final answer:

The rate problem scenario in a recreational area. The rate of adding water to the pond is constant at 30 liters per time unit. Determining the amount of time to fill the pond up is a straightforward division of total volume by the rate.

Explanation:

In this scenario, a small pond in a recreation area is being filled with water at a constant rate of 30 liters. If we consider time, this scenario is dealing with rates of change, which is a mathematical concept known as derivatives in calculus. However, in a middle school context, this can be better understood as a simple instance of a rate problem where the speed (rate) of filling the water is constant (30 liters per time unit). For example, if we want to calculate how long it would take to fill the pond if it has a capacity of 300 liters, we simply divide the total capacity by the rate: 300 liters divided by 30 liters equals 10 time units.

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