Given a graph describing the amount of water in the container as a function of time from the time the water was turned on, in what minute was there the greatest amount of water in the container?
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Given a graph describing the amount of water in the container as a function of time from the time the water was turned on, in what minute was there the greatest amount of water in the container?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Upon examining the graph carefully, we identify a clear peak at a particular point. This point represents the maximum amount of water in the container.
Step 2: The peak on the graph is located at approximately the 18-minute mark on the time axis. This represents the moment when the water volume is at its maximum.
Therefore, the greatest amount of water in the container occurs at minutes.
18
Given the following graph, determine whether function is constant
Look for the highest point on the curve! The maximum is where the graph reaches its peak before going down. In this graph, it's clearly at the 18-minute mark where the line reaches about 280 units of water.
Find the absolute maximum - the single highest point overall. If two points are equally high, the question would specify which one to choose. In this graph, there's only one clear peak.
For the time axis, read the exact minute where the peak occurs. The graph shows clear markings at 18 minutes. For the water amount, you can estimate, but the question only asks for the time.
This represents a real-world scenario where water fills up to a maximum, then decreases (perhaps due to drainage, evaporation, or the tap being turned off). The peak shows the moment of maximum water.
Always read the correct axis for what the question is asking!
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