Question
Here is a scatter plot that shows the most popular videos in a 10-year span.a. Use the scatter plot to estimate the number of views for the most popular video in this 10-year span.b. Estimate when the 4th most popular video was released.
Step 1
According to the scatter plot, the most popular video is the one with the highest number of views. Show more…
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As broadband Internet grows more popular, video services such as YouTube will continue to expand. The number of online video viewers (in millions) is projected to grow according to the rule $$ N(t)=52 t^{0.531} \quad(1 \leq t \leq 10) $$ where $t=1$ corresponds to 2003 a. Sketch the graph of $N$. b. How many online video viewers were there in $2012 ?$
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The number of views of a YouTube video increases after the number of hours posted as shown in the table. \begin{tabular}{c|c} \hline Hour & Number of Views \\ \hline 20 & 100 \\ \hline 25 & 517 \\ \hline 30 & 2015 \\ \hline 35 & $10,248$ \\ \hline \end{tabular} (a) Use the model $y=y_{0} e^{k x}$ to find an exponential function that gives projected number of views $y$ after number of hours $x .$ Let hour 20 correspond to $x=0$ hour 25 correspond to $x=5,$ and so on, and use the first and last data values given in the table. (b) Estimate the number of views after $50 \mathrm{hr}$.
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