The percentage of employees who cease their employment during a year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of dollars, to a certain company for a given employee turnover percentage in a year. E = employee turnover 10 20 30 40 C = cost 200 350 500 650 (a) Show that the data can be modeled by a linear function. For each increase in employee turnover by ten percent the cost increases by (b) Find the slope of the linear function. million dollars per percentage point (c) Find a linear model for the data. C(E) = million dollars. (d) Use the result from part (c) to find the cost to the company if employee turnover is 21% in a year. million dollars

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The percentage of employees who cease their employment during a year is referred to as employee turnover, and it is a serious issue for businesses. The following table
shows the cost, in millions of dollars, to a certain company for a given employee turnover percentage in a year.
E = employee turnover 10 20 30
40
C = cost
200 350 500 650
(a) Show that the data can be modeled by a linear function.
For each increase in employee turnover by ten percent the cost increases by
(b) Find the slope of the linear function.
million dollars per percentage point
(c) Find a linear model for the data.
C(E) =
million dollars.
(d) Use the result from part (c) to find the cost to the company if employee turnover is 21% in a year.
million dollars
Transcribed Image Text:The percentage of employees who cease their employment during a year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of dollars, to a certain company for a given employee turnover percentage in a year. E = employee turnover 10 20 30 40 C = cost 200 350 500 650 (a) Show that the data can be modeled by a linear function. For each increase in employee turnover by ten percent the cost increases by (b) Find the slope of the linear function. million dollars per percentage point (c) Find a linear model for the data. C(E) = million dollars. (d) Use the result from part (c) to find the cost to the company if employee turnover is 21% in a year. million dollars
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