Vertical Asymptotes Rural Wireless Internet Algebra Assignment This is a Alg2 assignment. I have attached the word doc to complete. This assignment came wi

Vertical Asymptotes Rural Wireless Internet Algebra Assignment 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. Transcript: Rural Wireless Internet
An animation opens with a picture of a very crowded street, filled with many brightly colored signs in
Korean. The animation begins when the “Start” button is clicked. Text is read and appears on the
screen. [Click “Start.”]
Audio and On-screen text:
Did you know that South Korea has some of the fastest Internet in the world? That’s great if you live
in a big city like Seoul, but what if you live somewhere else?
[The scene changes to show a lush green field with a river running through it. The screen pans up to
show more fields and mountains.] Many small towns and rural businesses still do not have Internet
or even basic telephone access! Remoteness, mountains, islands, and other geographic features
make it too expensive for communication companies to reach the few people still living far from the
city.
[The image changes to show clouds in the sky and then two women sitting and looking at a laptop.]
My friend Uyen and I are helping a rural community write a grant to bring affordable wireless Internet
to their village.
We’re asking the United Nations for $50,000 to build cell towers in and around the area. But what
percentage of the community will actually be served by the grant? [The image of the clouds in the
sky reappears and then three metal cellular towers rise up and start transmitting.]
[An image of a person standing and talking on the phone in a room filled with computer servers with
wires is shown.] We’ve talked to Internet providers. They have a formula for the cost of bringing
“digital communication infrastructure” (cell phone towers) into a new community. Here it is: [The
image changes to show a field with two cell phones sitting on the dirt and ”
“] is shown on-screen.
Where C is the cost in dollars for supplying p percent of the population with Internet.
Uyen did a quick calculation for the cost of reaching 10% of the community:
She reasons that if it costs $2777.77 to reach 10% of the community, then to reach 100%, it should
cost 10 times that much: [”
“] is shown on-screen.
[The image changes to show a forested area with a creek flowing through it and a path. A sign that
says “You are now in a WiFi Area” is shown.]
But I’m not sure. I think there is something about the formula that will affect our proposal.
Is Uyen correct in thinking that $27,777 will be enough to reach the whole community? Is our grant
proposal of $50,000 reasonable?
Scenario: Rural Wi-Fi
Instructions:
•
View the video found on page 1 of this journal activity.
•
Using the information provided in the video, answer the questions below.
•
Show your work for all calculations
The Students’ Conjectures: You and Uyen are writing a grant proposal for $50,000 to provide wireless
Internet access to a rural community in South Korea. Complete the table to summarize Uyen’s idea about
the percentage of the population that can get Internet access for $50,000. (1 point)
Classmate
Conjecture
Uyen
Analyze the Conjecture:
1. Does Uyen’s argument make sense? Why or why not? (1 point)
Analyze the Data:
The Internet provider has given you the following cost function for the community:
where C(p) = cost, in dollars, and p = percentage of the population served.
2. How much will it cost to provide Internet access to 25% of the population? (2 points)
3. Does this graph have any vertical asymptotes? If so, where? (2 points)
4. Fill out the table of values to find the points on the graph. (3 points: 1 point each for p = 50, 75, 90)
Note that values p = 25 and p = 100 were covered in previous questions.
p = percent served
10
25
C=
$2777
$8333.33
50
75
90
100
cost
5. Use the numbers above to sketch the cost function on the grid below, including the asymptote: (3
points: 1 point for several correct points, 1 point for the general shape, and 1 point for the correct
asymptote)
6. On your graph, label the point where the cost, C, is roughly $50,000. (1 point)
7. Use the formula to solve for p (the percentage of the people who will get Internet access) for the full
$50,000. (3 points: 2 points for the correct setup, 1 point for the final answer)
8. Does the percentage you calculated agree with your graph? (1 point)
9. Was Uyen’s estimate that everyone could get Internet access for $27,777 correct? (1 point)
10. If you were reviewing this grant proposal, would you approve it? Do you want to pay to provide
Internet access for 100% of the population? If not, for what percentage of the community is coverage
acceptable? (1 point)
Further Investigation:
11. There are about 49.5 million people in South Korea and about 51.9 million wireless devices — there
are more cell phones than there are people! Does it make sense to say that more than 100% of the
population has Internet access? Describe how your graph supports (or disputes) your answer. (1 point)

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