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Harsh, mandatory minimum sentence for drug offensesaccount for more than half the population in U.S. federalprisons. The bar graph shows the number of inmates infederal prisons, in thousands, (or drug offenses and all othercrimes in 1998 and 2010. (Other crimes include murder, robbery, fraud, burglary, weapons offenses, immigration offenses, racketeering, and perjury.)
a. In 1998, there were 60 thousand inmates in federalprisons Tor drug offenses, hoi the period shown by the graph, this number increased by approximately2.8 thousand inmates per year. Write a function thatmodels the number of inmates, y. in thousands, tor drug offenses x years after 1998.
b. In 1998, there were 44 thousand inmates in federalprisons for all crimes other than drug offenses. For theperiod shown by the graph, this number increased byapproximately 3.8 thousand inmates per year. Writea function that models the number of inmates, y. inthousands, for all crimes other than drug offenses x yearsafter 1998.
c. Use the models from parts (a) and (b) to determinem which year the number of federal inmates for drug offenses was the same as the number of federal inmatesfor all other crimes. How many inmates were there fordrug offenses and for all other crimes in that year?2014:104.8thousand
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