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Difficulty:
25%
(medium)
Question Stats:
79%
(01:41)
correct 21%
(01:52)
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based on 142
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The graph shows the distribution of funding sources for public transportation in City X from 2005 through 2014. For example, in 2005, 30.0% of public transportation funding came from the local government, 20.0% from the state government, 25.0% from the federal government, and 25.0% from fare revenue.
Based on the information provided, select the option from each drop-down menu that creates the most accurate statement.
The ratio of the percent contributed by fare revenue to the percent contributed by the federal government was greatest in the year and least in the year .
A quick way to solve can be through glancing the years. For Greatest - Year 2014 clearly has >2 as the ratio while others are in the 1-2 range. For Least - Year 2005 clearly has a ratio of 1 whereas others are >1.
The graph shows the distribution of funding sources for public transportation in City X from 2005 through 2014. For example, in 2005, 30.0% of public transportation funding came from the local government, 20.0% from the state government, 25.0% from the federal government, and 25.0% from fare revenue.
Based on the information provided, select the option from each drop-down menu that creates the most accurate statement.
The ratio of the percent contributed by fare revenue to the percent contributed by the federal government was greatest in the year and least in the year .
Solution:
To determine the year in which the ratio of the percent contributed by fare revenue to the percent contributed by the federal government was greatest and the year in which it was least, consider how the components of the ratio change over time. From the data provided, we observe that:
The percent contributed by fare revenue increases steadily from 25.0% in 2005 to 32.0% in 2014.
The percent contributed by the federal government decreases steadily from 25.0% in 2005 to 15.0% in 2014.
Because the numerator of the ratio (fare revenue) is increasing while the denominator (federal government) is decreasing, the ratio itself increases over time. Thus:
The ratio is greatest when fare revenue is at its highest and federal government contribution is at its lowest — in 2014.
The ratio is least when fare revenue is at its lowest and federal contribution is at its highest — in 2005.