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Originally posted by Bunuel on 21 Aug 2020, 02:27.
Last edited by Bunuel on 22 Nov 2024, 05:13, edited 3 times in total.
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Dropdown 1: Recreational places
Dropdown 2: 55%
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Difficulty:
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Question Stats:
58%
(02:51)
correct 42%
(03:02)
wrong
based on 374
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The figure illustrates the percentages of food away from home (FAFH) expenditures by outlet type in 1987 and 2017. The acronym NEC stands for "not elsewhere classified." All estimates include both sales taxes and tips.
Select from each drop-down menu the option that creates the most accurate statement, given the information provided.
If FAFH expenditures did not decrease from 1987 to 2017, the category with the greatest percentage increase in expenditures over the 30-year period is .
If expenditures classified into the "Other FAFH sales, NEC" category in 2017 were equally distributed among the other eight categories, the category with the highest percentage increase in share would see an increase of approximately .
The figure illustrates the percentages of food away from home (FAFH) expenditures by outlet type in 1987 and 2017. The acronym NEC stands for "not elsewhere classified." All estimates include both sales taxes and tips.
Select from each drop-down menu the option that creates the most accurate statement, given the information provided.
If FAFH expenditures did not decrease from 1987 to 2017, the category with the greatest percentage increase in expenditures over the 30-year period is .
If expenditures classified into the "Other FAFH sales, NEC" category in 2017 were equally distributed among the other eight categories, the category with the highest percentage increase in share would see an increase of approximately .
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Official Solution:
Drop-down 1:
We should focus on the category with the largest increase in share. Recreational Places experienced the greatest increase, with its share rising from 2.1% to 3.6%, representing a 1.7-fold increase. This means the actual increase in expenditures for this category would be 1.7 * (the increase in total expenditures). For instance, if total expenditures doubled, expenditures for Recreational Places would increase by 1.7 * 2 = 3.4 times.
Drop-down 2:
In 2017, "Other FAFH sales, NEC" accounted for 2.6% of the total expenditure. Distributing this share evenly among the other eight categories would add approximately \(\frac{2.6}{8} \approx 0.33\) percentage points to each. The category with the highest percentage increase in share would be the one with the smallest initial share, which is Drinking Places, with an initial share of 0.6%. The percentage increase in share, therefore, would be \(\frac{0.33}{0.6} * 100 = 55\%\).
For the first dropdown shouldn't the answer be limited service resturants with a percentage change of 3.5 as the multiplication factor?
Bunuel
Official Solution:
Drop-down 1:
We should focus on the category with the largest increase in share. Recreational Places experienced the greatest increase, with its share rising from 2.1% to 3.6%, representing a 1.7-fold increase. This means the actual increase in expenditures for this category would be 1.7 * (the increase in total expenditures). For instance, if total expenditures doubled, expenditures for Recreational Places would increase by 1.7 * 2 = 3.4 times.
Drop-down 2:
In 2017, "Other FAFH sales, NEC" accounted for 2.6% of the total expenditure. Distributing this share evenly among the other eight categories would add approximately \(\frac{2.6}{8} \approx 0.33\) percentage points to each. The category with the highest percentage increase in share would be the one with the smallest initial share, which is Drinking Places, with an initial share of 0.6%. The percentage increase in share, therefore, would be \(\frac{0.33}{0.6} * 100 = 55\%\).
For the first dropdown shouldn't the answer be limited service resturants with a percentage change of 3.5 as the multiplication factor?
Show more
The 3.5 is only a 3.5 percentage-point increase in share, not a multiplication factor. For percentage growth, compare the shares relative to their starting values.
Limited-service restaurants: 36.1/32.6 ≈ 1.11
Recreational places: 3.6/2.1 ≈ 1.71
So Recreational places had the greater percentage increase.