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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
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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.

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
200 340 480 620
(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
Enter an exact number.
(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 22% 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 200 340 480 620 (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 Enter an exact number. (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 22% in a year. million dollars
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