Criminal Justice: Crime Prevation

Name
Professor
Course
Date
Criminal Justice: Crime Prevention
Question 1:
The number n of incidents of family violence requiring police response appears to be related to d, the money spent on crisis intervention, by the equation: n = 430 – 0.005d. What expenditure would reduce the number of incidents to 350?
Solution
n, represents the number of incidences that needs response from the police
d, is the expenditure on crisis intervention
We know that:
n = 430 – 0.005d
Therefore:
Number of incidences n =350
Hence:
350=430-0.005d (Simmons 28)
Rearranging values:
350-350+0.005d=430-350-0.005d+0.005d (Larson and Anne 35).
0.005d=800.005d0.005=800.005 (Leff 56).
d=16,000Therefore:
The expenditure required to reduce the number of incidences to 350 is:
16,000

Works Cited
Larson, Ron, and Anne V Hodgkins. College Algebra. Boston, MA, Brooks/Cole, Cengage Learning, 2013,.
Leff, Lawrence S. College Algebra. Hauppauge, N.Y., Barron’s, 2005.
Simmons, George F. Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry: Geometry, Algebra, Trigonometry. Wipf and Stock Publishers, 2003.