A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. The numbers y of cell sites from 1985 through 2014 can be modeled by y = 320.110/1+377e-0.257t 320,110 1 + 377e−0.257twhere t represents the year, with t = 5 corresponding to 1985. (a) Use the model to find the numbers of cell sites in the years 1998, 2003, and 2006. (Round your answers to the nearest whole number.) 1998 y = cell sites 2003 y = cell sites 2006 y = cell sites (b) Use a graphing utility to graph the function. (c) Use the graph to determine the year in which the number of cell sites reached 280,000. The number of cell sites reached 280,000 in . (d) Confirm your answer to part (c) algebraically. The number of cell sites reached 280,000 in .
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. The numbers y of cell sites from 1985 through 2014 can be modeled by y = 320.110/1+377e-0.257t 320,110 1 + 377e−0.257twhere t represents the year, with t = 5 corresponding to 1985. (a) Use the model to find the numbers of cell sites in the years 1998, 2003, and 2006. (Round your answers to the nearest whole number.) 1998 y = cell sites 2003 y = cell sites 2006 y = cell sites (b) Use a graphing utility to graph the function. (c) Use the graph to determine the year in which the number of cell sites reached 280,000. The number of cell sites reached 280,000 in . (d) Confirm your answer to part (c) algebraically. The number of cell sites reached 280,000 in .
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Question
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. The numbers y of cell sites from 1985 through 2014 can be modeled by
where t represents the year, with
y = 320.110/1+377e-0.257t
| 320,110 |
| 1 + 377e−0.257t |
t = 5
corresponding to 1985.
(a) Use the model to find the numbers of cell sites in the years 1998, 2003, and 2006. (Round your answers to the nearest whole number.)
(b) Use a graphing utility to graph the function.
(c) Use the graph to determine the year in which the number of cell sites reached 280,000.
(d) Confirm your answer to part (c) algebraically.
| 1998 | y | = | cell sites |
| 2003 | y | = | cell sites |
| 2006 | y | = | cell sites |
(b) Use a graphing utility to graph the function.
(c) Use the graph to determine the year in which the number of cell sites reached 280,000.
The number of cell sites reached 280,000 in .
(d) Confirm your answer to part (c) algebraically.
The number of cell sites reached 280,000 in .
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