It takes 4 years for number of daily visitors to be 800% more than the number of daily visitors in 2003
Solution:
Let the number of visitors in 2003 be 100
From 2003 onward, the number of daily visitors to a website increased by 200% every two years
Therefore, Number of visitors in 2005 is given as:
Visitors in 2005 = 100 + 200 % of 100
[tex]Visitors\ in\ 2005 = 100 + \frac{200}{100} \times 100\\[/tex]
Visitors in 2005 is 300
Similarly, in 2007, the number of visitors is given as:
Visitors in 2007 = 300 + 200 % of 300
Visitors in 2007 = 300 + 600
Visitors in 2007 = 900
Now find the percentgae increase from 2003 to 2007
[tex]\text { Percentage increase }=\frac{\text {visitors in } 2007-\text {visitors in } 2003}{\text {visitors in } 2003} \times 100[/tex]
[tex]\text{percentgae increase} = \frac{900 - 100}{100} \times 100\\\\\text{percentgae increase} = 800[/tex]
Thus it is a 800 % increase
Number of years = 2007 - 2003 = 4 years
Thus it takes 4 years for number of daily visitors to be 800% more than the number of daily visitors in 2003
