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Originally posted by Bunuel on 15 Sep 2025, 05:26.
Last edited by Bunuel on 08 Oct 2025, 03:02, edited 3 times in total.
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Dropdown 1: 140 minutes
Dropdown 2: twice as much as
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The chart shows the water level in a reservoir over time. The vertical axis represents the water level, in meters, relative to the bottom of the reservoir. The horizontal axis represents the time, in minutes, since monitoring began.
The water level generally decreases as water is used for irrigation, but occasional rainfall causes the level to rise temporarily.
Select the option from each drop-down menu that creates the statement that most accurately reflects the information provided.
If the average rate of water level decrease monitored over the seven hours continues, the water level would reach zero after minutes.
The largest decrease in water level during any 30-minute interval shown on the graph was the largest increase during any 30-minute interval.
Originally posted by Bunuel on 24 Sep 2025, 02:30.
Last edited by Bunuel on 25 Sep 2025, 06:24, edited 1 time in total.
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Bunuel
The chart shows the water level in a reservoir over time. The vertical axis represents the water level, in meters, relative to the bottom of the reservoir. The horizontal axis represents the time, in minutes, since monitoring began.
The water level generally decreases as water is used for irrigation, but occasional rainfall causes the level to rise temporarily.
Select the option from each drop-down menu that creates the statement that most accurately reflects the information provided.
If the average rate of water level decrease monitored over the seven hours continues, the water level would reach zero after minutes.
The largest decrease in water level during any 30-minute interval shown on the graph was the largest increase during any 30-minute interval.
Over 420 minutes, the water level dropped from 120 meters to 30 meters, a total decrease of 90 meters. At the same rate, the remaining 30 meters, which is one-third of 90, would take one-third of the time, so 420/3 = 140 minutes.
Drop-down 2:
From the graph, the steepest 30-minute decrease occurred between 120 and 150 minutes, when the level fell from 105 meters to 75 meters (a 30-meter drop). The steepest 30-minute increase occurred between 300 and 330 minutes, when the level rose from 75 meters to 90 meters (a 15-meter rise). The largest decrease (30 meters) is exactly twice as much as the largest increase (15 meters).
If the average rate of water level decrease monitored over the seven hours continues, the water level would reach zero after X minutes.
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First, lets calculate the average rate of water decrease over the seven hours (420min). rate = work / time, in this case, rate=(120-30)/420=3/14 Than, lets calculate how many time we need to bring the level from 30 to 0 with this rate. If rate = work/time, time=work/rate, so t=30/(3/14)= 140minutes
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The largest decrease in water level during any 30-minute interval shown on the graph was YYYY the largest increase during any 30-minute interval.
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The largest decrease is from the 360 to 390 minutes with arround 33m decrese. The largest increase is from the 300 to 330 minutes with arround 15m incrase. Hence, the largest decrease is twice as much as the largest increase
The chart shows the water level in a reservoir over time. The vertical axis represents the water level, in meters, relative to the bottom of the reservoir. The horizontal axis represents the time, in minutes, since monitoring began.
The water level generally decreases as water is used for irrigation, but occasional rainfall causes the level to rise temporarily.
Select the option from each drop-down menu that creates the statement that most accurately reflects the information provided.
If the average rate of water level decrease monitored over the seven hours continues, the water level would reach zero after minutes.
The largest decrease in water level during any 30-minute interval shown on the graph was the largest increase during any 30-minute interval.
We essentially have to calculate hourly average drop. For the same, let's first calculate individual drop numbers on a hourly basis. For eg: From 120 to 100 in first 60 minutes, the drop is -20 Thus we get the following values: -20, +5, -25, -10, +5, 0 and -40. Total hours is 7 hours Average is sum of (-20+5-25-10+5+0-49)/7 This comes out to be approximately 12-13 meters. Thus for 30 meters, rougly 2 and half hours or close to 140 minutes.
The largest decrease in water level during any 30-minute interval shown on the graph was the largest increase during any 30-minute interval. Looking at larges increase which is from 75 to 105 which happens in 120 minutes to 150 minutes contributing 40% \(\frac{(105-75)}{75}\)*100=40% Now the maximum increase have happened from 75 to 90 meters in 330 minutes which is 20% increase. Hence twice as much.