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Originally posted by Bunuel on 21 Nov 2020, 04:15.
Last edited by Bunuel on 07 Dec 2024, 00:43, edited 4 times in total.
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Dropdown 1: 25% more
Dropdown 2: Between 2005 and 2006
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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.
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 .
Originally posted by Bunuel on 20 Nov 2024, 07:50.
Last edited by Bunuel on 02 Jan 2026, 05:15, edited 1 time in total.
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Bunuel
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.
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 Solution:
Drop-down 1:
To calculate the land area under wheat, we divide wheat production by yield per hectare, since \(\text{land}=\frac{\text{production}}{\text{yield}}\). For 2002, this is approximately \(\frac{2.9}{1.5} \approx 1.9\), and for 2003, it is approximately \(\frac{5.8}{2.4} \approx 2.4\). 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). The biggest proportional decline occurs between 2005 and 2006, where yield falls from a little over 2 to about 1.2, which is the largest relative drop.
I STILL DONT UNDERSTAND WHY DO WE NEED TO FIND THE RATIO IN 1ST ONE, WHY CANT BE JUST DIRECTLY COMPARE THEM ?
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You’re comparing land, not output.
Production = yield * land, so land = production / yield.
Yields differ across years (2002 ~1.5 vs 2003 ~2.4), so comparing 2.9 vs 5.8 alone is meaningless. Divide to remove the yield effect: land ≈ 2.9/1.5 ≈ 1.9 vs 5.8/2.4 ≈ 2.4, which is about 25% more in 2003.
Production = yield * land, so land = production / yield.
Yields differ across years (2002 ~1.5 vs 2003 ~2.4), so comparing 2.9 vs 5.8 alone is meaningless. Divide to remove the yield effect: land ≈ 2.9/1.5 ≈ 1.9 vs 5.8/2.4 ≈ 2.4, which is about 25% more in 2003.