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Dropdown 1: 2
Dropdown 2: From August to September
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
54% (02:14) correct
46%
(02:55)
wrong
based on 276
sessions
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The graph above shows the rainfall in millimeters at two Florida lakes over a 12-month period, from April 2005 to March 2006. The amount of rainfall fluctuated significantly in both lakes during this time.
Select from each drop-down menu the option that creates the most accurate statement, given the information provided.
The combined rainfall exceeds 400mm for exactly months.
The greatest percentage drop in combined rainfall occurred from .
Attachment:
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Official Answer
Dropdown 1: 2
Dropdown 2: From August to September
22 Nov 2024, 00:33
Kudos
Bookmarks
Bunuel
Official Solution:
Drop-down 1:
If both lakes had rainfall of less than 200mm in a month, then their combined rainfall obviously cannot exceed 400mm. Using this, we can immediately eliminate 9 out of 12 months. From the remaining three months — June, August, and October — only the first two have combined rainfall exceeding 400mm.
Drop-down 2:
There are three real contenders for the correct answer:
- From June to July, the drop is from approximately 550mm to 300mm, which is less than 2 times.
- From August to September, the drop is from approximately 450mm to 100mm, which is about 4.5 times.
- From October to November, the drop is from approximately 300mm to 100mm, which is about 3 times.
Thus, the largest drop is from August to September.
Correct answer:
Dropdown 1: "2"
Dropdown 2: "From August to September "
General Discussion
03 Jan 2025, 17:07
Kudos
Bookmarks
Part 1. The combined rainfall exceeds 400mm for exactly ___ months.
1. Months with less than 200 in both values (columns) won't work since the sum will be less than 200 + 200 = 400.
2. Let's calculate the combined rainfall for months which don't have both values under 200.
- June: 150 + 410 = 560 > 400. This works.
- August: 190 + 280 = 470 > 400. This works.
- October: 50 + 250 = 300 < 400. This doesn't work.
3. Our answer will be: 2.
Part 2. The greatest percentage drop in combined rainfall occurred from ___.
1. Visibly, the greatest drops occurred in June-July, August-September, and October-November.
2. Let's calculate exactly by what percent.
- June-July: 150 + 410 = 560 to 180 + 150 = 330, which is a percent drop of \(\frac{560 - 330}{330} \approx 0.697 = 69.7\%\).
- August-September: 190 + 280 = 470 to 25 + 70 = 95, which is a percent drop of \(\frac{470 - 95}{470} \approx 0.798 = 79.8\%\).
- October-November: 50 + 250 = 300 to 60 + 40 = 100, which is a percent drop of \(\frac{300 - 100}{300} \approx 0.667 = 66.7\%\).
3. The greatest percent drop is August-September.
4. Our answer will be: From August to September.
1. Months with less than 200 in both values (columns) won't work since the sum will be less than 200 + 200 = 400.
2. Let's calculate the combined rainfall for months which don't have both values under 200.
- June: 150 + 410 = 560 > 400. This works.
- August: 190 + 280 = 470 > 400. This works.
- October: 50 + 250 = 300 < 400. This doesn't work.
3. Our answer will be: 2.
Part 2. The greatest percentage drop in combined rainfall occurred from ___.
1. Visibly, the greatest drops occurred in June-July, August-September, and October-November.
2. Let's calculate exactly by what percent.
- June-July: 150 + 410 = 560 to 180 + 150 = 330, which is a percent drop of \(\frac{560 - 330}{330} \approx 0.697 = 69.7\%\).
- August-September: 190 + 280 = 470 to 25 + 70 = 95, which is a percent drop of \(\frac{470 - 95}{470} \approx 0.798 = 79.8\%\).
- October-November: 50 + 250 = 300 to 60 + 40 = 100, which is a percent drop of \(\frac{300 - 100}{300} \approx 0.667 = 66.7\%\).
3. The greatest percent drop is August-September.
4. Our answer will be: From August to September.
