The number of patrol officers needed on staff depends on the crime rate of the county, which is calculated based on the number of crimes per year. At a 3% crime rate, the county hires 200 officers per 10,000 people in the population. For every 0.1% increase in crime rate, an additional 5 officers are hired per 10,000 people in the population. For every 0.1% below 3% crime rate, 3 fewer officers are hired. • A 3% sign-on bonus is offered for officers with no experience when there is a 5% to 10% shortage in the number of officers employed. • A5% sign-on bonus is offered for officers with no experience when there is an 11% or higher shortage in the number of officers employed. • A6% sign-on bonus is offered for officers with at least 3 years of experience when there is a 5% to 10% shortage in the number of officers employed. • A 10% sign-on bonus is offered for officers with at least 3 years of experience when there is an 11% or higher shortage in the number of officers employed. County Population Yearly Total Crime Number of Officers Currently Cases Rate Employed Maple 761,000 19,025 2.5% 14,000 Willow 298,000 22,350 7.5% 12,600 Oak 1,192,000 41,720 3.5% 26,500 Pine 530,000 29,150 5.5% 14,600 Which county would offer the LARGEST sign-on bonus to an officer with 4 years of experience?
The number of patrol officers needed on staff depends on the crime rate of the county, which is calculated based on the number of crimes per year. At a 3% crime rate, the county hires 200 officers per 10,000 people in the population. For every 0.1% increase in crime rate, an additional 5 officers are hired per 10,000 people in the population. For every 0.1% below 3% crime rate, 3 fewer officers are hired. • A 3% sign-on bonus is offered for officers with no experience when there is a 5% to 10% shortage in the number of officers employed. • A5% sign-on bonus is offered for officers with no experience when there is an 11% or higher shortage in the number of officers employed. • A6% sign-on bonus is offered for officers with at least 3 years of experience when there is a 5% to 10% shortage in the number of officers employed. • A 10% sign-on bonus is offered for officers with at least 3 years of experience when there is an 11% or higher shortage in the number of officers employed. County Population Yearly Total Crime Number of Officers Currently Cases Rate Employed Maple 761,000 19,025 2.5% 14,000 Willow 298,000 22,350 7.5% 12,600 Oak 1,192,000 41,720 3.5% 26,500 Pine 530,000 29,150 5.5% 14,600 Which county would offer the LARGEST sign-on bonus to an officer with 4 years of experience?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.6: Wind And Water Current Problems
Problem 8P
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Transcribed Image Text:The number of patrol officers needed on staff depends on the crime rate of the county, which is calculated
based on the number of crimes per year. At a 3% crime rate, the county hires 200 officers per 10,000 people in
the population. For every 0.1% increase in crime rate, an additional 5 officers are hired per 10,000 people in the
population. For every 0.1% below 3% crime rate, 3 fewer officers are hired.
• A3% sign-on bonus is offered for officers with no experience when there is a 5% to 10% shortage in the
number of officers employed.
• A 5% sign-on bonus is offered for officers with no experience when there is an 11% or higher shortage in
the number of officers employed.
• A 6% sign-on bonus is offered for officers with at least 3 years of experience when there is a 5% to 10%
shortage in the number of officers employed.
A 10% sign-on bonus is offered for officers with at least 3 years of experience when there is an 11% or
higher shortage in the number of officers employed.
County
Population
Yearly Total
Crime
Number of Officers Currently
Cases
Rate
Employed
Мaple
761,000
19,025
2.5%
14,000
Willow
298,000
22,350
7.5%
12,600
Oak
1,192,000
41,720
3.5%
26,500
Pine
530,000
29,150
5.5%
14,600
p. Which county would offer the LARGEST sign-on bonus to an officer with 4 years of experience?
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