Respuesta :
Answer:
It will take 10 days for the views to be less than 1000
Explanation:Given that Amelia posts a video that gets 8,192 views on the first day.
Since the number of views decreases by 20% per day, we have the equation below:
[tex]y=a(1-r)^x[/tex]Where y is a function of x (The time it will take for the number of views to be less than 1000), a is the initial number of views (8,192), and r is the rate at which the views decreases (0.20).
We now have the equation:
[tex]1000=8192(1-0.20)^x[/tex][tex]\begin{gathered} \frac{1000}{8192}=0.8^x \\ \\ 0.8^x=0.122 \end{gathered}[/tex]Take logarithms of both sides
[tex]\begin{gathered} x\log (0.8)=\log (0.122) \\ x=\frac{\log (0.122)}{\log (0.8)}=9.43 \end{gathered}[/tex]x will surely by less than 1000 views in 10 days
