Expert answer:Sum of A Geometric Series Tool Modeling Viral Vide

  

Solved by verified expert:This is a Alg2 assignment. I have attached the word doc to complete.
This assignment came with a very short video presentation. You DO NOT
have access to the video, so I have include the transcript of the video
to help you complete. It is pretty simple and will not require more than
an hour or so of time. Thank you in advance for accurate information. Attached is a pdf of the transcript of the video then a photo of the Sum of a Geometric Series Tool, then the actual questions that need to be answered.
modeling__viral_videos_assignment.pdf

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6/4/2019
Transcript: Modeling: Viral Videos
Transcript: Modeling: Viral Videos
This interactive animation shows some text on-screen and an image of a small brown dog wearing
glasses and reading a book, as well as an image of a striped kitten playing with a cat toy. The images
of animals can be separately clicked to reveal more information. When an image is clicked, a
“swoosh” noise is heard.
A Partial Sums Tool is also shown that can be used to calculate the summation.
This interactive tool shows blanks that information can be entered into to calculate the summation.
The blanks shown are:
First Term ( ):
Ratio (r):
Number of Terms (n):
The summation formula
is also shown, and then there is a
equals blank where the
answer appears.
On-screen text:
Two of your friends have uploaded videos of their pets to the Web for a video contest. The winner is
the video with the most views after two weeks. They know how many people have seen their videos
on each of the first four days and want to predict how many views they will have by the end of the
contest. Use what you know about geometric sequences to help one of them figure out the total
viewership.
Dog: Hilarious choice! The following chart shows how many people saw the video of your friend’s dog
on the first four days it was online. [A chart is shown with the following data:]
Day: Viewers
1: 500
2: 751
3: 1124
4: 1688
In your assignment, you will use the Sum of a Geometric Series Tool and your knowledge of geometric
sequences to model how many people will see the video over two weeks.
Kitten: Adorable choice! The following chart shows how many people saw the video of your friend’s
kitten on the first four days it was online. [A chart is shown with the following data:]
Day: Viewers
1: 25
2: 77
3: 226
4: 680
In your assignment, you will use the Sum of a Geometric Series Tool and your knowledge of geometric
sequences to model how many people will see the video over two weeks.
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Practice Assignment
Modeling: Viral Videos
Algebra II
Your Assignment: Viral Videos
Two of your friends have uploaded videos of their pets for an online video contest! They know how many people
have seen their videos on the first 4 days, and they want to predict how many people will watch the videos before
the contest ends in 2 weeks.
In this assignment, you will choose one of the videos, use the Sum of a Geometric Series Tool and your
knowledge of geometric sequences to model how many people have seen the video, and help your friend predict
the total number of viewers for the video.
Is there a pattern?
1. Complete the following table: (1 point)
Which animal:
Dog or cat
Day
1
2
3
4
Viewers
Common ratio?
2. Is there a relationship between the number of viewers and the days of the contest? If you think there is a
relationship, what kind is it? If you don’t think there is, explain why not. (2 points: 1 point for a valid answer, 1
point for a valid explanation)
The starting value and the growth rate
3. If we treat the list of viewers as a sequence, what is the initial value of the sequence? What is the approximate
common ratio of the terms in the sequence? (Round the common ratio to the nearest tenth.) Use these two
numbers to write an explicit formula for the sequence. (3 points: 1 point for the initial value, 1 point for the
common ratio, and 1 point for the explicit formula)
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4. How can your explicit formula help answer your friend’s question? (2 points)
Finding the geometric sequence and modeling the growing number of viewers
5. Write the number of viewers for the first 4 days in the table below, and then use your explicit formula to
complete the table. (6 points: 1 point each for the daily and total viewers of days 5, 6, and 7)
Day
Daily viewers
Total viewers (partial sums)
1
2
3
4
5
6
7
Using the sum of a series
6. Use the Sum of a Geometric Series Tool to check your answer for the total number of viewers after 7 days.
Then find the total number of viewers at the end of the contest (after 14 days). Include the formula used by the
tool in your answer. (3 points: 1 point for the sum after 7 days, 2 points for the sum after 14 days)
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A new video!
7. Your neighbor joins the contest and posts a video of his puffer fish that has 100 views the first day, 200 views
the second day, and 400 views the third day. Modeling this growth as before, you get the following equation:
If that growth rate continues for the next 14 days, will the puffer fish video have more or fewer views than the
total number of views for your friend’s video? Will you create a table of values or use the Sum of a Geometric
Series Tool to find your answer? Explain which method you will choose, and find out who will win the contest. (3
points: 1 point for the explanation, 1 point for the sum after 14 days, 1 point for the comparison)
.
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