We are given a table for the city of Detroit, Michigan USA for the period of 1961 to 1973 with the following information: a column with the number of full-time police per 100,000 citizens and a column with the number of homicides per 100,000 citizens. Year Police Homicides 1961 260.35 8.6 1962 269.8 8.9 1963 272.04 8.52 1964 272.96 8.89 1965 272.51 13.07 1966 261.34 14.57 1967 268.89 21.36 1968 295.99 28.03 1969 319.87 31.49 1970 341.43 37.39 1971 356.59 46.26 1972 376.69 47.24 1973 390.19 52.33     On the same x-axis representing the year, construct the time series of the number of police and the number of homicides on the same graph. Identify the variable that demonstrated the higher percentage increase relative to its initial value (police or homicides), and share your conclusions on the matter. Did the increase in police officers have an impact on the murder rate? Why?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
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We are given a table for the city of Detroit, Michigan USA for the period of 1961 to 1973 with the following information: a column with the number of full-time police per 100,000 citizens and a column with the number of homicides per 100,000 citizens.

Year

Police

Homicides

1961

260.35

8.6

1962

269.8

8.9

1963

272.04

8.52

1964

272.96

8.89

1965

272.51

13.07

1966

261.34

14.57

1967

268.89

21.36

1968

295.99

28.03

1969

319.87

31.49

1970

341.43

37.39

1971

356.59

46.26

1972

376.69

47.24

1973

390.19

52.33

 

 

  • On the same x-axis representing the year, construct the time series of the number of police and the number of homicides on the same graph.
  • Identify the variable that demonstrated the higher percentage increase relative to its initial value (police or homicides), and share your conclusions on the matter.
  • Did the increase in police officers have an impact on the murder rate? Why?
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