Final answer:
The number of daily visitors to the website was 800% more than in 2003 in the year 2007, based on the pattern of increasing by 200% every two years.
Step-by-step explanation:
We need to calculate when the number of daily visitors to a website was 800\% more than in 2003, given that the visitors increased by 200\% every two years. An increase of 800\% implies the number is 9 times (since 100\% + 800\% = 900\% or 9 times) the original count. Since the visitors increase by 200\% (which means tripling the number) every two years, we can write the equation:3^n = 9, where n is the number of 2-year periods after 2003.
To solve 3^n = 9, we find that 3^2 = 9, so n = 2. Each n represents 2 years, so 2 * 2 years = 4 years after 2003. Hence, the number of visitors was 800\% more than in 2003 in the year 2003 + 4 = 2007.