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20 votes
20 votes
A new song has gone viral on the Internet. The website hosting the song uses the function f(t)=500t^2 to represent the number of daily hits over time, where t is time in days. Use the function to predict the day on which the number of daily hits reaches 1,000,000. Show your work.

User Tsando
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3.3k points

1 Answer

21 votes
21 votes

We will have the following:


\begin{gathered} 1000000=500t^2\Rightarrow t^2=2000 \\ \\ \Rightarrow t=√(2000)\Rightarrow t=20√(5) \\ \\ \Rightarrow t=44.72135955... \end{gathered}

So, on day 44 it will reach 1 000 000.

User Ashraff Ali Wahab
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3.2k points