Analyzing Water Level Change: Graph Analysis from 20-22 Minutes

Graph Analysis with Water Level Changes

Given a graph describing the amount of water in the container as a function of time from the time the water was turned on, did the amount of water increase or decrease between 20-22minutes?

Weather222444666888101010121212141414161616181818202020222222242424262626282828303030Amount of water202020404040606060808080100100100120120120140140140160160160180180180200200200220220220240240240260260260280280280300300300000CCC111

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given a graph describing the amount of water in the container as a function of time from the time the water was turned on, did the amount of water increase or decrease between 20-22minutes?

Weather222444666888101010121212141414161616181818202020222222242424262626282828303030Amount of water202020404040606060808080100100100120120120140140140160160160180180180200200200220220220240240240260260260280280280300300300000CCC111

2

Step-by-step solution

To solve this problem, we'll analyze the graph provided:

  • Step 1: Locate the points on the graph corresponding to 20 and 22 minutes on the time axis.

  • Step 2: Identify the water level at 20 minutes.

  • Step 3: Identify the water level at 22 minutes.

  • Step 4: Compare these two water levels to determine if there is an increase or decrease.

Now, let's work through these steps:

The graph shows the relationship between time and the amount of water in a container. At 20 minutes, the graph indicates a certain water level. By tracing to 22 minutes, we observe the level has changed.

Inspecting the segment from the graph between 20 and 22 minutes, we notice that the line is sloping downwards, indicating a decrease in the amount of water.

This observation shows us that the amount of water decreased between 20 and 22 minutes.

Therefore, the solution to the problem is Decreased.

3

Final Answer

Decreased

Key Points to Remember

Essential concepts to master this topic
  • Reading Graphs: Find specific time values on horizontal axis first
  • Technique: Compare water levels at t=20 (higher) vs t=22 (lower)
  • Check: Downward sloping line from 20-22 minutes confirms decrease ✓

Common Mistakes

Avoid these frequent errors
  • Reading the wrong axis or time interval
    Don't look at the wrong time period or confuse x and y axes = completely wrong conclusion! Students often read 22-24 minutes instead of 20-22, or mix up which axis shows time vs water amount. Always locate the exact time interval on the horizontal axis first, then trace up to find corresponding water levels.

Practice Quiz

Test your knowledge with interactive questions

Given the following graph, determine whether function is constant

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FAQ

Everything you need to know about this question

How do I know which direction means increase or decrease?

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If the line goes upward (from lower left to upper right), the water level increases. If it goes downward (from upper left to lower right), the water level decreases. Think of it like climbing a hill!

What if the line is horizontal between two points?

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A horizontal line means the water level stayed the same - no increase or decrease. The amount remained constant during that time period.

Do I need to calculate exact numbers from the graph?

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No! You only need to determine if the water level went up, down, or stayed the same. Look at the direction of the line between your two time points.

What if I can't see the exact points for 20 and 22 minutes?

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Look for the grid lines or tick marks on the time axis. Even if points aren't marked exactly at 20 and 22, you can estimate where they would be and follow the line's direction.

Why does the graph show different segments?

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Different line segments represent different rates of change. The water might fill quickly, then slowly, or even drain during certain periods. Each segment tells part of the story!

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