How to solve this question ?
2020-07-27 11:34 pm
Pat is filling a bathtub. She lets the water run for two minutes, which fills the tub one-quarter full. She then turns off the water to answer the telephone. When she returns 3 minutes later, she turns the taps fully open to finish filling the tub three quarters full, which takes another 3 minutes. She gets into the tub. After a 10 minute bath, she pulls the plug, and the tub drains in 5 minutes. Sketch a graph of the water level in the tub from start to finish. Remember to label the axes and to use appropriate scales.
回答 (2)
2020-07-27 11:51 pm
Put the height of the water on the vertical axis (from 0 = empty, to 1 = 100% full)
Put time (in minutes) on the horizontal axis.
The starting point is (0,0) --> at time 0, the bathtub level is 0.
Then the next point is (2, 0.25) --> at time 2, the bathtub level is 1/4 (0.25)
Draw a line between those points to represent the water filling the tub.
It then sits at that level for 3 minutes, so the next point is (5, 0.25). Draw a horizontal line connecting the prior point to this one.
It now takes 3 more minutes to get the tub to 3/4 full, so the next point is (8, 0.75).
When she gets in the tub, the water level should have risen because she displaces a certain volume of water, but I guess we ignore that. Just imagine that the level stays at 3/4 full for 10 more minutes. So the next point is (18, 0.75). Draw a horizontal line.
Finally, it takes 5 minutes to get back to a level of 0. So the final point is (23, 0).
Can you draw that? Or do you need more help?
Put time (in minutes) on the horizontal axis.
The starting point is (0,0) --> at time 0, the bathtub level is 0.
Then the next point is (2, 0.25) --> at time 2, the bathtub level is 1/4 (0.25)
Draw a line between those points to represent the water filling the tub.
It then sits at that level for 3 minutes, so the next point is (5, 0.25). Draw a horizontal line connecting the prior point to this one.
It now takes 3 more minutes to get the tub to 3/4 full, so the next point is (8, 0.75).
When she gets in the tub, the water level should have risen because she displaces a certain volume of water, but I guess we ignore that. Just imagine that the level stays at 3/4 full for 10 more minutes. So the next point is (18, 0.75). Draw a horizontal line.
Finally, it takes 5 minutes to get back to a level of 0. So the final point is (23, 0).
Can you draw that? Or do you need more help?
收錄日期: 2021-04-18 18:36:15
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