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The graphic indicates the range of spend, per person, for public elementary and secondary school education in various Midwestern states in the United States in 2007. Use the drop-down menus to complete each statement according to the information presented in the diagram.
1. If, in 2007, the population of Minnesota (MN) was 5.2 million and the population of South Dakota (SD) was 0.8 million, then the range of possible total expenditure on public elementary and secondary school education in South Dakota was approximately of the equivalent range for Minnesota.
2. If, in 2007 in the state of Wisconsin (WI), all schools spent either the minimum or the maximum per person, and 2.5 times as many schools spent the minimum as the maximum, the average spend per person for Wisconsin in 2007 was approximately .
1. There are four tiers of spending. Minnesota is in the highest while South Dakota is in the lowest. So, the percent ratio is equal to \(\frac{Lowest \ Tier \ Range * SD \ Population}{Highest \ Tier \ Range * MN \ Population} * 100\% = \frac{(1535 - 1161) * 0.8 \ million}{(2712 - 1971) * 5.2 \ million} * 100\% \approx 0.0776 * 100\% = 7.76\%\), which is closest to 8%.
2. Wisconsin is in the second-highest tier, which has a maximum of $1970 and a minimum of $1843. Let there be n schools that spent the maximum. Then, 2.5n spent the minimum. The average spend per person is \(\frac{n * 1970 + 2.5n * 1843}{3.5n} = \frac{1970 + 4607.5}{3.5} \approx 1879\).