Question

The table shows estimates of the percentages of Scottish households that had Internet Service between the...

The table shows estimates of the percentages of Scottish households that had Internet Service between the years 2001 and 2010.

a. Create a logistic model P(t) which estimates the penetration of Scottish households with internet service. Use t = 0 to represent the year 2000.
b. What percentage of Scottish households had internet service by the year 2018?
c. Find ?′(?)

d. Find ?′(18). What does this number represent.

Year

Percentage

2001

15

2002

20

2003

30

2004

46

2005

58

2006

69

2007

77

2008

82

2009

86

2010

87

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