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Owners of a re-creation area are filling a small pond with water. They are adding water at a rate of 33 liters per minute. There are 400 liters in the pond to start.Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added. Write and equation relating W to T. Then use the equation to find the total amount of water after 17 minutes."

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Final answer:

The equation relating the total amount of water in the pond to the total number of minutes that water has been added is W = 400 + 33T. After 17 minutes, the total amount of water in the pond would be 961 liters.

Step-by-step explanation:

We can represent the total amount of water in the pond as W and the total number of minutes that water has been added as T. Since water is being added at a rate of 33 liters per minute, the equation relating W to T would be:

W = 400 + 33T

To find the total amount of water after 17 minutes, we can substitute T = 17 into the equation:

W = 400 + 33(17) = 400 + 561 = 961 liters

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