To find the number of people who had viewed the video once it had been online for 20 days, we need to substitute [tex]\( x = 20 \)[/tex] into the given function, which is [tex]\( f(x) = 33(1.3)^x \)[/tex].
1. First, we identify the function:
[tex]\[ f(x) = 33(1.3)^x \][/tex]
2. We substitute [tex]\( x = 20 \)[/tex] into the function to find the number of views after 20 days:
[tex]\[ f(20) = 33(1.3)^{20} \][/tex]
3. Now we calculate [tex]\( (1.3)^{20} \)[/tex].
4. After calculating [tex]\( 33 \times (1.3)^{20} \)[/tex]:
[tex]\[ f(20) \approx 6271.638045710668 \][/tex]
5. Thus, the number of people who had viewed the video after 20 days is approximately 6,271.
Therefore, the correct answer is:
[tex]\[ \boxed{6271} \][/tex]
