Graph Analysis: Finding Bowl A's Fill Time with 32-Liter Initial Condition

Question

Given two bowls A and B

The bowl A emptand and the bowl B contains 32 liters of water.

We fill the bowls with water until theand are full, here is a graph showing the amount of water in the two bowls as a function of time

After how manand minutes from the time the taps are opened, will the A bowl be full?

Time222444666888101010121212141414161616181818202020222222242424262626282828303030Water Level888161616242424323232404040484848565656646464727272808080888888969696104104104112112112000AB

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information and analyze the graph to understand the data.
  • Step 2: Determine which line corresponds to Bowl A and find where it reaches maximum filling on the graph.
  • Step 3: Note the time at which the line reaches maximum capacity to solve when Bowl A is full.

Now, let's work through each step:

Step 1: We start by examining the graph. The graph shows two lines, one for each bowl. The vertical axis indicates the amount of water, while the horizontal axis indicates time in minutes.

Step 2: Identify the line that represents Bowl A. From the graph, we find that the line starting at zero represents Bowl A since Bowl B starts at 32 liters.

Step 3: We observe that the line for Bowl A reaches its maximum level on the graph at a time corresponding to 20 minutes. At this point, the line becomes horizontal, indicating the bowl is full.

Therefore, the solution to the problem is 20 minutes.

Answer

20

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Question Types

Variation of a Function: Drawing conclusions from a table or graph