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Dropdown 1: 20%
Dropdown 2: 40%
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Difficulty:
95%
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Question Stats:
36% (03:39) correct
64%
(03:43)
wrong
based on 548
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The graph above shows the changes in major land cover types in the given five-state region from 1982 to 1997.
The graph shows the percent change in the area of different land cover types across five states (DE, MD, PA, VA, and WV) as well as for these five states combined, from 1982 to 1997.
Select from each drop-down menu the option that creates the most accurate statement based on the information provided.
If in 1997 Pennsylvania's (PA) rural land coverage equaled the average rural land coverage of the five states combined, then in 1982 Pennsylvania's rural land coverage was of the combined rural land coverage for all five states.
If Delaware (DE) and Maryland (MD) had similar acreage of land under crop in 1997, Delaware would have had approximately more acreage of cropland as compared to that in Maryland in 1982.
Attachment:
I14-11.png [ 66.58 KiB | Viewed 10882 times ]
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Official Answer
Dropdown 1: 20%
Dropdown 2: 40%
19 Nov 2024, 07:43
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Bunuel
Official Solution:
Drop-down 1:
Both Pennsylvania and the five states combined experienced a 40% increase in rural land coverage from 1982 to 1997. Thus, if in 1997 Pennsylvania's rural land coverage equaled the average for the five states combined, then in 1982 it also equaled the average, making Pennsylvania's rural land coverage 1/5, or 20%, of the total for the five states.
Drop-down 2:
Assuming Maryland's cropland acreage in 1982 was 100 acres, then after a 10% drop by 1997, it would have 90 acres. Since Delaware and Maryland had the same cropland acreage in 1997, Delaware also had 90 acres. Given that Delaware experienced a 35% drop from 1982 to 1997, its 1982 cropland acreage would be \(\frac{90}{0.65}\approx 140\) acres. Therefore, in 1982, Delaware (140 acres) had 40% more cropland acreage than Maryland (100 acres).
Correct answer:
Dropdown 1: "20%"
Dropdown 2: "40%"
31 Mar 2026, 23:15
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Let's say Pennsylvania's rural land coverage in 1982 and 1997 be P1 and P2.
From the graph:
We can say P2 = P1*(1+0.35)
Similarly, let's say Total rural land coverage in 1982 and 1997 be T1 and T2.
From the graph:
We can say T2 = T1*(1+0.40)
For question-1, we are given data about 1997.
P2 = T2/5
We can substitute P2 and T2 in terms of P1 and T1
P1*(1.35) = T1*(1.4)/5
P1/T1 = 0.20 = ~20%
From the graph:
We can say P2 = P1*(1+0.35)
Similarly, let's say Total rural land coverage in 1982 and 1997 be T1 and T2.
From the graph:
We can say T2 = T1*(1+0.40)
For question-1, we are given data about 1997.
P2 = T2/5
We can substitute P2 and T2 in terms of P1 and T1
P1*(1.35) = T1*(1.4)/5
P1/T1 = 0.20 = ~20%
