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Difficulty:
45%
(medium)
Question Stats:
71%
(03:03)
correct 29%
(03:10)
wrong
based on 632
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The graph compares the cost of ethanol and gasoline in the United States with the cost of corn over a period of time. Ethanol and gasoline costs are shown on the left vertical axis, and corn costs are shown on the right vertical axis.
Select from each drop-down menu the option that creates the most accurate statement, given the information provided.
When the cost of corn was at its highest, the cost per gallon of ethanol was approximately of the cost per bushel of corn.
The range of costs for corn was approximately times greater than the range of costs for gasoline.
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The graph compares the cost of ethanol and gasoline in the United States with the cost of corn over a ten-year period. Ethanol and gasoline costs are shown on the left vertical axis, and corn costs are shown on the right vertical axis.
Select from each drop-down menu the option that creates the most accurate statement, given the information provided.
When the cost of corn was at its highest, the cost per gallon of ethanol was approximately of the cost per bushel of corn.
The range of costs for corn was approximately times greater than the range of costs for gasoline.
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Official Solution:
Drop-down 1:
The cost of corn, represented by the red line, was at its highest at the end of 2011, reaching approximately $8.30 per bushel (use right axis for the cost of corn). At the same time, the cost of ethanol, black line, was about $2.50 per gallon, which is \(\frac{2.5}{8.3}*100 \approx 30\%\) of the cost per bushel of corn.
Drop-down 2:
The highest cost for corn was at the end of 2011, reaching approximately $8.30 per bushel, while the lowest cost for corn was at the end of 2015, dropping to approximately $2.90 per bushel, resulting in a range of $5.40. The highest cost for gasoline was at the beginning of 2010, reaching approximately $3.40 per gallon, while the lowest cost for gasoline was at the beginning of 2008, at $0.60 per gallon, resulting in a range of $2.80. Therefore, the range of corn was approximately \(\frac{5.4}{2.8} \approx 2\) times the range of gasoline.
The graph compares the cost of ethanol and gasoline in the United States with the cost of corn over a period of time. Ethanol and gasoline costs are shown on the left vertical axis, and corn costs are shown on the right vertical axis.
Select from each drop-down menu the option that creates the most accurate statement, given the information provided.
When the cost of corn was at its highest, the cost per gallon of ethanol was approximately of the cost per bushel of corn.
The range of costs for corn was approximately times greater than the range of costs for gasoline.
The graph compares the cost of ethanol and gasoline in the United States with the cost of corn over a period of time. Ethanol and gasoline costs are shown on the left vertical axis, and corn costs are shown on the right vertical axis.
Select from each drop-down menu the option that creates the most accurate statement, given the information provided.
When the cost of corn was at its highest, the cost per gallon of ethanol was approximately of the cost per bushel of corn.
The range of costs for corn was approximately times greater than the range of costs for gasoline.
Show more
Q1: We need to find the highest corn price and the ethanol price at the time where the corn price was the highest => look at the red line to identify the highest price (remember the corn price is on the right vertical axis and the ethanol price is on the left vertical axis). The highest corn price is found between Jan 2011 and Jan 2012 at approx. 8.30$. At that date the ethanol price gallon is around 2.50$, then just find the ratio 2.50$/8.30$ = 0.3030.... which is around 30%. Q2: To find the range for both ethanol and corn we again look for the highest price of corn and the lowest price, since range=highest - lowest, we already know the highest price for corn is around 8.30$ so just need to find the lowest. This seems to occur twice, around Jan 2009 and Jan 2010 but also at a similar price from Jun/Jul 2015 to Jan 2017, the price is around 3.25$ here. So the range for corn = 8.30$-3.25$ = 5.05$. Repeat the process for ethanol and find that the range for ethanol is approx 3.40$ - 0.70$ = 2.40$. Now just divide and you get approx. 2
The graph compares the cost of ethanol and gasoline in the United States with the cost of corn over a period of time. Ethanol and gasoline costs are shown on the left vertical axis, and corn costs are shown on the right vertical axis.
Select from each drop-down menu the option that creates the most accurate statement, given the information provided.
When the cost of corn was at its highest, the cost per gallon of ethanol was approximately of the cost per bushel of corn.
The range of costs for corn was approximately times greater than the range of costs for gasoline.
Q1: We need to find the highest corn price and the ethanol price at the time where the corn price was the highest => look at the red line to identify the highest price (remember the corn price is on the right vertical axis and the ethanol price is on the left vertical axis). The highest corn price is found between Jan 2011 and Jan 2012 at approx. 8.30$. At that date the ethanol price gallon is around 2.50$, then just find the ratio 2.50$/8.30$ = 0.3030.... which is around 30%. Q2: To find the range for both ethanol and corn we again look for the highest price of corn and the lowest price, since range=highest - lowest, we already know the highest price for corn is around 8.30$ so just need to find the lowest. This seems to occur twice, around Jan 2009 and Jan 2010 but also at a similar price from Jun/Jul 2015 to Jan 2017, the price is around 3.25$ here. So the range for corn = 8.30$-3.25$ = 5.05$. Repeat the process for ethanol and find that the range for ethanol is approx 3.40$ - 0.70$ = 2.40$. Now just divide and you get approx. 2
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Why have you taken range of ethanol when we are asked to compare the range of gasoline? Ig there is a typo as you have calculated correctly