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?
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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?
To solve this problem, we'll follow these steps:
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.
20
Look at the graph below and determine whether the function's rate of change is constant or not:
Look at the starting points at time = 0! Bowl A starts empty (at 0 liters), so it's the line beginning at the bottom. Bowl B starts with 32 liters, so it's the line starting higher up.
A horizontal line means the water level stops changing - the bowl is completely full! No more water can be added, so the line stays flat at maximum capacity.
Bowl A has a steeper slope on the graph, meaning water is being added at a faster rate. The steeper the line, the faster the filling rate!
Find where Bowl A's line becomes horizontal and trace straight down to the time axis. Also verify that Bowl A reaches approximately 112 liters (same as Bowl B's final level).
Make sure you're reading the exact point where the line stops rising. Use the grid lines to help - the line becomes horizontal right at the 20-minute mark on the time axis.
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