year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of The percentage of employees who cease their employment during dollars, to a certain company for a given employee turnover percentage in a year. E employee turnover C = cost (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. 10 20 30 40 200 340 480 620 C(E)= (c) Find a linear model for the data. million dollars per percentage point Need Help? (d) Use the result from part (c) to find the cost to the company if employee turnover is 36% in a year. million dollars Read It million dollars.

year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of The percentage of employees who cease their employment during dollars, to a certain company for a given employee turnover percentage in a year. E employee turnover C = cost (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. 10 20 30 40 200 340 480 620 C(E)= (c) Find a linear model for the data. million dollars per percentage point Need Help? (d) Use the result from part (c) to find the cost to the company if employee turnover is 36% in a year. million dollars Read It million dollars.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.3: Modeling Data With Linear Functions

Problem 1E: Employee Turnover The percentage of employees who cease their employment during a year is referred...

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Employee Turnover 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 Walmart for a given employee turnover percentage in a year.13 E = employee turnover 10 20 30 40 C = cost 250 400 550 700 a. Show that the data can be modeled by a linear function. b. Find the slope of the linear function. c. Find a linear model for the data. d. Use the result from part c to find the cost to Walmart if employee turnover is 33 in a year.
Does Table 1 represent a linear function? If so, finda linear equation that models the data.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data are not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of change is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change from 2 to 5 is not the same as the average rate of change from 5 to 6. This shows that the data are not linear, even though the differences in y are constant. x 1 2 5 6 y 3 6 9 12
Manufacturing Cost The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4800 to produce 300 chair in or day. (a) Assuming that the relationship between cost and the number of chair’ produced is linear, find a linear function C that models the cost of producing x chair’s in one day. (b) Draw a graph of C. What is the slope of this line? (c) At what rate does the factory’s cost increase for every additional chair produced?