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The number of crimes that occurred in a certain city per 1000 people had decreased from

46.6 in 1920 to 45.1 in 1970. Find the average rate of change in the number of crimes per 1000 people that occurred from 1920 to 1970.

 Oct 8, 2018
 #1
avatar+101872 
+1

Average  rate of change  (per year) =

 

[ 46.6  - 45.1 ]  / [ 1920  - 1970 ] =

 

1.5 / -50  =

 

-.03   crimes  per year

 

 

cool cool cool

 Oct 8, 2018
 #2
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45.1 / 46.6 =0.9678 - 1 x 100 =-3.22% decrease in crime over a period of 50 years!.
[1 + (-0.0322)]^(1/50) =0.9678^(1/50) - 1 x 100 =-0.0654% - average decrease in crime rate PER YEAR over a period of 50 years!.

 Oct 8, 2018
edited by Guest  Oct 8, 2018
edited by Guest  Oct 8, 2018

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