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12 Nov 2024, 03:55
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Dropdown 1: 25% more
Dropdown 2: Between 2005 and 2006
The graph above shows wheat production in million metric tons (blue bars) and yield in metric tons per hectare (orange line) for a country from 2000 through 2010. The blue bars are read using the left y-axis, and the orange line is read using the right y-axis.
From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
The total land under wheat in 2003 was approximately than that in 2002.
The largest percentage drop in yield per hectare was .
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Official Answer
Dropdown 1: 25% more
Dropdown 2: Between 2005 and 2006
12 Nov 2024, 03:55
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Official Solution:
Drop-down 1:
To calculate the land area under wheat, we divide wheat production by yield per hectare, since \(\text{production}=\text{yield}\times\text{land}\), so \(\text{land}=\frac{\text{production}}{\text{yield}}\). For 2002, the land area was approximately \(\frac{2.9}{1.5} \approx 1.9\) million hectares, and for 2003, it was approximately \(\frac{5.8}{2.4} \approx 2.4\) million hectares. The increase from 1.9 to 2.4 is about 25%, so the land under wheat in 2003 was approximately 25% more than that in 2002.
Drop-down 2:
Largest percentage drop means the largest proportional decrease from one year to the next, that is, (previous yield - new yield)/(previous yield). Reading the orange yield line using the right y-axis, the biggest proportional decline occurs between 2005 and 2006, when yield falls from about 2.0 to about 1.2 metric tons per hectare, a decrease of approximately 40%.
Correct answer:
Dropdown 1: "25% more"
Dropdown 2: "Between 2005 and 2006"
Bunuel
Drop-down 1:
To calculate the land area under wheat, we divide wheat production by yield per hectare, since \(\text{production}=\text{yield}\times\text{land}\), so \(\text{land}=\frac{\text{production}}{\text{yield}}\). For 2002, the land area was approximately \(\frac{2.9}{1.5} \approx 1.9\) million hectares, and for 2003, it was approximately \(\frac{5.8}{2.4} \approx 2.4\) million hectares. The increase from 1.9 to 2.4 is about 25%, so the land under wheat in 2003 was approximately 25% more than that in 2002.
Drop-down 2:
Largest percentage drop means the largest proportional decrease from one year to the next, that is, (previous yield - new yield)/(previous yield). Reading the orange yield line using the right y-axis, the biggest proportional decline occurs between 2005 and 2006, when yield falls from about 2.0 to about 1.2 metric tons per hectare, a decrease of approximately 40%.
Correct answer:
Dropdown 1: "25% more"
Dropdown 2: "Between 2005 and 2006"
