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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.
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 .
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 .
Show more
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 did not quite understand the solution. For question 1, how do we know that to find the total land we have to divide the production by the yield? Also, should it not be given what is 1 hectare?
I did not quite understand the solution. For question 1, how do we know that to find the total land we have to divide the production by the yield? Also, should it not be given what is 1 hectare?
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We divide production by yield because:
Production = Yield * Land
So, Land = Production / Yield
A hectare is the unit of area, which is clear from context. Nothing more about it is needed to solve the question.
Bunuel here, for the yield axis, there are 0, 0.5,..till 3 (total 7 divisions), but here are 8 horizontal division of axis (ie 8 horizontal lines) - is it a mistake? I thought it was a mistake - for e.g. for 2002, I calculated hectare as 2.9/1.25 (thinking that 1.5 in right axis was slightly misplaced upwards) So in actual exam, will this misplacement intentinally put by question makers? If so, should I just take the reading as given by the graph or account for the potential misplacement of the numbers?
Bunuel here, for the yield axis, there are 0, 0.5,..till 3 (total 7 divisions), but here are 8 horizontal division of axis (ie 8 horizontal lines) - is it a mistake? I thought it was a mistake - for e.g. for 2002, I calculated hectare as 2.9/1.25 (thinking that 1.5 in right axis was slightly misplaced upwards) So in actual exam, will this misplacement intentinally put by question makers? If so, should I just take the reading as given by the graph or account for the potential misplacement of the numbers?
The horizontal lines are for the left y-axis, not the right. You should have noticed they align exactly with the left-axis labels (0 to 7), not with the right-axis (0 to 3).
I did not quite understand the solution. For Statement 1, why isn't the land area 2,900,000/1.5 (2002) and 5,800,000/2.4 (2003), given that production is given in million metric tons, not metric tons?
I did not quite understand the solution. For Statement 1, why isn't the land area 2,900,000/1.5 (2002) and 5,800,000/2.4 (2003), given that production is given in million metric tons, not metric tons?
Show more
You can ignore those extra zeros, they cancel out when comparing. No need to complicate the math, using 2.9 and 5.8 works exactly the same for finding the percentage change.