Use this information to answer 14-15: A company that has an after hour call cent

Question

Use this information to answer 14-15: A company that has an after hour call center service pays the provider a monthly fee based on the number of minutes that are used. Here, c(m) is the monthly cost (in dollars) for m minutes of usage c(m) 1400 14] Find the rule of the function c. (i.e., 1000 600 15] Suppose another service provider prospects this company with the following "deal": The company will pay a flat monthly fee of S400 plus one dollar for each minute of service time used. Under what circumstances would this "deal" be the least expensive of the two plans? 200 100 300 500 700900 1100

Explanation / Answer

we have two points ( 0,200) and (400, 1000)

slope = 1000 - 200 / 200

m = 4

from the figure c(m) is a piecewise function

hence , c(m) = 4m + 200 , if 0 <= x < 600

1400 , if x >= 600

15) the deal from another service provider is given as

c(m) = m + 400

where m = number of minutes used

m + 400 < 4m + 200

3m > 200

m > 200/3

so, if the minutes used is greater than 66.67 then deal 2 is least expensive

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