The time plot in the figure below gives the number of state and federal prisoner

Question

The time plot in the figure below gives the number of state and federal prisoners per 100,000 population (Source: Statistical Abstract of the United States, 120th Edition). (a) Estimate the number of prisoners per 100,000 people for 1980 and for 1997. 1980: 140 prisoners 1997: 450 prisoners (b) During the time period shown, there was increased prosecution of drug offenses, longer sentences for common crimes, and reduced access to parole. What does the time-series graph say about the prison population change per 100,000 people? The number of inmates per 100,000 every year. (c) In 1997, the U.S. population was approximately 266,591,000 people. At the rate of 440 prisoners per 100,000 population, about how many prisoners were in the system? (Round answer to whole number.) 1,183,589 prisoners The projected U.S. population for the year 2020 is 323,782,000. If the rate of prisoners per 100,000 stays the same as in 1997, about how many prisoners do you expect will be in the system in 2020? (Round answer to whole number.) 1,437,335 prisoners

Explanation / Answer

a) 1980 = 140 and 1997 = 440

c) In 1997, Total population= 266,591,000

Rate of 440 of 100,000= 440/ 100,000 = 0.0044

Total number of prisoners= 266591000* 0.0044= 1173000

d) Rate of 1997 prisoners is 440 per 100,000 population= 0.0044

2020, the total population= 323,782,000 with 1997 prisoners rate= 323782000* 0.0044 = 1424640.8 =1424641

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