Chapter 4.6, Problem 55PE

(a)

To determine

To calculate: A model of the form $y=a{b}^x$ if the table for the number of Facebook users over time,

Months After Dec 2004, t	Number of users in millions, y
0	1
12	5.5
24	12
34	50
44	100
60	350
67	500

(b)

To determine

To calculate: The function as an exponent function with base e if the model of the form $y=1.466{\left(1.096\right)}^t$.

(c)

To determine

To calculate: The predicted number of Facebook users in 2013 and to see if the trend would continue on if the model is $y=1.466{\left(1.096\right)}^t$.

(d)

To determine

To calculate: A logistic model for the provided data if the table for the number of Facebook users over time is,

Months After Dec 2004, t	Number of users in millions, y
0	1
12	5.5
24	12
34	50
44	100
60	350
67	500

(e)

To determine

To calculate: The predicted number of Facebook users in 2013 using the logistic model if the logistic model is $y=\frac{889}{1+576e^{-0.0986t}}$.