The number N of US cellular phone subscribers (in millions) by year (t) is shown in the table. (Midyear estimates are given.) 1996 1998 2000 2002 t N 44 69 (i) from 1996 to 2000 109 (ii) from 2002 to 2004 141 million phones/yr (a) Find the average rate (in millions of phones per year) of cell phone growth between the following years. In each case, include the units. (Round your answers to one decimal place (iii) from 2000 to 2002 million phones/yr 2004 2006 million phones/yr 182. 233 (b) Estimate the instantaneous rate of growth (in millions of phones per year) in 2002 by taking the average of the two average rates of change in (ii) and (iii). million phones/yr

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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The number N of US cellular phone subscribers (in millions) by year (t) is shown in the table. (Midyear estimates are given.)
t
(1)
N
1996 1998 2000 2002 2004
44
69
from 1996 to 2000
109
(ii) from 2002 to 2004
141
(a) Find the average rate (in millions of phones per year) of cell phone growth between the following years. In each case, include the units. (Round your answers to one decimal place.)
million phones/yr
(iii) from 2000 to 2002
million phones/yr
182
million phones/yr
2006
233
(b) Estimate the instantaneous rate of growth (in millions of phones per year) in 2002 by taking the average of the two average rates of change in (ii) and (iii).
million phones/yr
Transcribed Image Text:The number N of US cellular phone subscribers (in millions) by year (t) is shown in the table. (Midyear estimates are given.) t (1) N 1996 1998 2000 2002 2004 44 69 from 1996 to 2000 109 (ii) from 2002 to 2004 141 (a) Find the average rate (in millions of phones per year) of cell phone growth between the following years. In each case, include the units. (Round your answers to one decimal place.) million phones/yr (iii) from 2000 to 2002 million phones/yr 182 million phones/yr 2006 233 (b) Estimate the instantaneous rate of growth (in millions of phones per year) in 2002 by taking the average of the two average rates of change in (ii) and (iii). million phones/yr
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