Linear Function Analysis: Calculate Time to Fill Bowl B Using Water Level Graph
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 B bowl be full?
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 minutes.