Question

A growing number of thieves are using keylogging programs to steal passwords and other personal information from Internet users. The number of keyloggingprograms reported grew approximately exponentially from 0.3 thousand programs in 2001 to 11.0 thousand programs in 2008. Predict the number of keyloggingprograms that will be reported in 2013

Answer 1

Exponential growth (EG):

2001 = 0.3

2008 = 11

2013 = ?

`n\text{ = }a* b^t`

a = initial amount = 0.3

b= growth factor = ?

t = period = 7

n = 11

`\begin{gathered} 11=0.3* b^7 \\ b^7=(11)/(0.3) \\ b\text{ = }\sqrt[7]{(11)/(0.3)} \\ b=1.67 \end{gathered}`

b = 1.67

Solving the number of keylogging programs that will be reported in 2013:

`\begin{gathered} n\text{ = }0.3*1.67^(12) \\ n=144.12 \end{gathered}`