4. A telecommunications company recently launched a year long advertising campaign to promote their brand of cellular telephones. The monthly number of new cellular telephone subscribers is shown in the table. Month Number of New Subscribers 1 6 500 2 2345 7 150 7 870 4 8 650 5 9 520 67 10 470 7 11 520 8 12 670 3. 76 2 a) Calculate the first and second differences, and the ratios. b) Which model appears most suitable for the data: linear, quadratic, or exponential? Justify your answer. c) Sketch a scatter plot of the data. d) Generate a suitable model for the data. Represent the model using a graph and an equation. e) Use the graph to predict the month in which there will be approximately 15 000 new subscribers. f) Use the equation to predict the number of new subscribers in month 12.
4. A telecommunications company recently launched a year long advertising campaign to promote their brand of cellular telephones. The monthly number of new cellular telephone subscribers is shown in the table. Month Number of New Subscribers 1 6 500 2 2345 7 150 7 870 4 8 650 5 9 520 67 10 470 7 11 520 8 12 670 3. 76 2 a) Calculate the first and second differences, and the ratios. b) Which model appears most suitable for the data: linear, quadratic, or exponential? Justify your answer. c) Sketch a scatter plot of the data. d) Generate a suitable model for the data. Represent the model using a graph and an equation. e) Use the graph to predict the month in which there will be approximately 15 000 new subscribers. f) Use the equation to predict the number of new subscribers in month 12.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Transcribed Image Text:4. A telecommunications company recently
launched a year long advertising campaign
to promote their brand of cellular telephones.
The monthly number of new cellular
telephone subscribers is shown in the table.
Month
Number of New
Subscribers
1
6 500
2
2345
7 150
7 870
4
8 650
5
9 520
67
10 470
7
11 520
8
12 670
3.
76
2
a) Calculate the first and second differences,
and the ratios.
b) Which model appears most suitable
for the data: linear, quadratic, or
exponential? Justify your answer.
c) Sketch a scatter plot of the data.
d) Generate a suitable model for the
data. Represent the model using a graph
and an equation.
e) Use the graph to predict the month in
which there will be approximately
15 000 new subscribers.
f) Use the equation to predict the number
of new subscribers in month 12.
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