Please Help Viral Videos Part 2 Think about how videos are p

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Viral Videos Part 2

Think about how videos are posted and shared online. First, examine an unpopular video on a single social medium. Suppose that, on the very first day of this video was posted, it received its highest quantity of views. As the days go on, the video receives fewer and fewer each day. Create an exponential function that models the number of views the video gets each day. Determine for yourself the number of times the video was initially viewed on its first day, or its initial value, and decide on a daily decay factor © 2015 Connections Education LLC. All rights reserved. less than one.

Now graph the function and make sure to track its number of daily views over a one-month period. You will submit the following. a. an unpopular video function b. an unpopular video graph

5. Look at a popular video. Create another exponential function with a smaller initial value (i.e., the number of times the video was viewed on its first day), but this time, with a growth factor that is greater than one. Graph the popular video function and make sure to show its number of daily views over a one-month period. What are the differences in the functions and the behavior of the graphs between the popular and the unpopular videos? You will submit the following. a. a popular video function b. a popular video graph c. a comparison of the unpopular video to the popular video

6. What are some factors that you did not consider in your model that could influence the spread of a viral electronic media? Write a brief paragraph that describes some additional factors that you could take into account, and how that might change the behavior of the function and graph. You will submit the following. a. a brief paragraph

Solution

1. From the given question it is clear that it is an unpopular video and the days on the views are reduced, so we have

to take an exponentially decaying function like Y = e^-x

here Y is the percentage of population watching videos. and x is days going on.

we can take any initial value and substitute it in this function so that we can obtain a graph which is reduced

gradually.

substitute some values of x like

for x=1 , Y= 0.368

x=2 Y=0.135

x=3, Y=0.05

X=4, Y=0.018

so like as the days gone the percentage of videos watch reduces abong 100% of population.

5. Here it is a popular video as the days goes on the percentage of viewers increases so we can take the function

as Y=e^x

for x=1 Y= 2.7

X=2 Y=7.39

X=3, Y=20

X=4, Y=54.6

So from here it is clear that as the days gone the video goes virally and increases its graph exponentially.

The graphs for these two are as shown:

This is the graph for exponentially decaying function

This is the graph for exponentially increasing function.