Problem

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 28 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 an equation relating $W$ to $T$. Then use this equation to find the total amount of water after 14 minutes. Equation: Total amount of water after 14 minutes: liters

Solution

Step 1 :The problem provides the following information: the rate of water being added is 28 liters per minute, and there are already 400 liters in the pond. Therefore, we can write an equation that relates the total amount of water in the pond (W) to the total number of minutes that water has been added (T). The equation is \(W = 400 + 28T\).

Step 2 :To find the total amount of water after 14 minutes, we can substitute \(T = 14\) into the equation.

Step 3 :Substituting \(T = 14\) into the equation gives \(W = 400 + 28 \times 14\).

Step 4 :Solving the equation gives \(W = 792\).

Step 5 :Final Answer: The total amount of water in the pond after 14 minutes is \(\boxed{792}\) liters.

From Solvely APP
Source: https://solvelyapp.com/problems/41979/

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