Concept explainers
a.
To find: a linear sequence and a quadratic sequence that model the given data and identify the coefficient of determination for each model.
a.

Answer to Problem 129E
Linear sequence:
Quadratic sequence:
Explanation of Solution
Given information: The revenue
2017 are shown in the below table.
Year | Revenue, |
2012 | 3609.3 |
2013 | 4374.6 |
2014 | 5504.7 |
2015 | 6779.5 |
2016 | 8830.7 |
2017 | 11,692.8 |
Calculation:
Let n =2 corresponding to 2012 then the above table will be:
Year | Revenue, |
2 | 3609.3 |
3 | 4374.6 |
4 | 5504.7 |
5 | 6779.5 |
6 | 8830.7 |
7 | 11,692.8 |
Using the graphing calculator on the above table data.
Linear sequence:
Quadratic sequence:
b.
To graph: each model with the data and decide which model is a better fit for the data.
b.

Explanation of Solution
Given information:
Calculation:
The graph of each model is shown below.
The quadratic sequence is the better fit, because the coefficient of determination is close to 1.
c.
To predict: the revenue of Netflix in 2021 using the model in part (b).
c.

Answer to Problem 129E
The revenue in 2021 is about $ 26,975.7 million.
Explanation of Solution
Given information:
Calculation:
Let n =11 for 2021
Therefore, the revenue in 2021 is about $ 26,975.7 million.
d.
To find: when the revenue will reach 50 billion dollars using the modal from part (b).
d.

Answer to Problem 129E
The revenue will reach $50 billion in 2024.
Explanation of Solution
Given information:
Calculation:
Let R =50,000.
Therefore, the revenue will reach $50 billion in 2024.
e.
To approximate: the total revenue from 2012 through 2017 and compare this sum with the result of adding the revenue shown in the table.
e.

Answer to Problem 129E
The total revenue from 2012to 2017 is about $40,791.47 million. This sum is very close to the sum of the values shown in the above table data, which is $40,791.6 million.
Explanation of Solution
Given information:
Calculation:
The total revenue from 2012to 2017 is:
Therefore, the total revenue from 2012to 2017 is about $40,791.47 million. This sum is very close to the sum of the values shown in the above table data, which is $40,791.6 million.
Chapter 8 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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