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. 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 Cases Crime Rate Number of Officers Currently 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 41. Approximately how many total police officers are needed in Maple County?

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

Chapter1: Introduction To Algebra

Section1.5: Translating Sentences Into Equations

Problem 30WE

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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.
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.