Problem

Owners of a recreation area are filling a small pond with water. Let $y$ represent the total amount of water in the pond (in liters). Let $x$ represent the total number of minutes that water has been added. Suppose that $x$ and $y$ are related by the equation $29 x+300=y$. Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change per minute in the amount of water in the pond? Џliters What was the starting amount of water in the pond? gliters

Solution

Step 1 :The question is asking for two things: the rate of change of the amount of water in the pond per minute, and the starting amount of water in the pond.

Step 2 :The rate of change per minute can be found by looking at the coefficient of \(x\) in the equation, which represents the amount of water added per minute. So, the rate of change per minute is \(29\) liters.

Step 3 :The starting amount of water in the pond can be found by looking at the constant term in the equation, which represents the amount of water in the pond when no time has passed (i.e., when \(x=0\)). So, the starting amount of water in the pond was \(300\) liters.

Step 4 :Final Answer: The change per minute in the amount of water in the pond is \(\boxed{29}\) liters. The starting amount of water in the pond was \(\boxed{300}\) liters.

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Source: https://solvelyapp.com/problems/hBikWxWYLf/

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