Linear Function Analysis: Calculate Time to Fill Bowl B Using Water Level Graph

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 B bowl be full?

Time222444666888101010121212141414161616181818202020222222242424262626282828303030Water Level888161616242424323232404040484848565656646464727272808080888888969696104104104112112112000AB

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1

Understand the problem

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 B bowl be full?

Time222444666888101010121212141414161616181818202020222222242424262626282828303030Water Level888161616242424323232404040484848565656646464727272808080888888969696104104104112112112000AB

2

Step-by-step solution

To solve this problem, let's follow these steps:

  • Step 1: Identify the line corresponding to bowl B on the graph. This is typically marked and will indicate the initial amount of water (32 liters).
  • Step 2: Observe the line's trajectory as time proceeds. Bowl B starts with 32 liters, so we look for the line that begins at this level on the vertical axis.
  • Step 3: The graph line for bowl B will gradually increase as time passes through minute intervals. Find the time at which this line reaches the top level, signifying maximum capacity (full).

Upon examining the graph:

Bowl B's line starts at 32 liters and continues to rise. At the 20-minute interval mark on the time axis, the trajectory for bowl B reaches its peak level and levels off, indicating the bowl is full.

Therefore, the solution to the problem is 20 20 minutes.

3

Final Answer

20

Practice Quiz

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Given the following graph, determine whether function is constant

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