Homework Help is Here – Start Your Trial Now!
Math
Calculus
The table shows the estimated percentage P of the population of a certain country that are mobile-phone subscribers. (End of year estimates are given.) Year 1997 1999 2001 2003 2005 2007 1.8 7.9 15.4 24.7 45.4 62.2 (a) Find the average rate of change of P. (i) From 2003 to 2007 percentage points per year (ii) From 2003 to 2005 percentage points per year (iii) From 2001 to 2003 percentage points per year

The table shows the estimated percentage P of the population of a certain country that are mobile-phone subscribers. (End of year estimates are given.) Year 1997 1999 2001 2003 2005 2007 1.8 7.9 15.4 24.7 45.4 62.2 (a) Find the average rate of change of P. (i) From 2003 to 2007 percentage points per year (ii) From 2003 to 2005 percentage points per year (iii) From 2001 to 2003 percentage points per year

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question
Ch2.3 #27 Can you help me with this please?
The table shows the estimated percentage P of the population of a certain country that are mobile-phone subscribers. (End of year estimates are given.) Year 1997 1999 2001 2003 2005 2007 1.8 7.9 15.4 24.7 45.4 62.2 (a) Find the average rate of change of P. (i) From 2003 to 2007 percentage points per year (ii) From 2003 to 2005 percentage points per year (iii) From 2001 to 2003 percentage points per year (b) Estimate the instantaneous rate of growth in 2003 by taking the average of two average rates of change. (Use the average rates of change for 2001 to 2003 and 2003 to 2005.) percentage points per year (c) Estimate the instantaneous rate of growth in 2003 by sketching a graph of P and measuring the slope of a tangent. (Sketch your graph so that it is a smooth curve through the points, and so that the tangent line has an x-intercept of 1999.3 and passing through the point (2006, 46.6). Round your answer to two decimal places.) percentage points per year
Transcribed Image Text:The table shows the estimated percentage P of the population of a certain country that are mobile-phone subscribers. (End of year estimates are given.) Year 1997 1999 2001 2003 2005 2007 1.8 7.9 15.4 24.7 45.4 62.2 (a) Find the average rate of change of P. (i) From 2003 to 2007 percentage points per year (ii) From 2003 to 2005 percentage points per year (iii) From 2001 to 2003 percentage points per year (b) Estimate the instantaneous rate of growth in 2003 by taking the average of two average rates of change. (Use the average rates of change for 2001 to 2003 and 2003 to 2005.) percentage points per year (c) Estimate the instantaneous rate of growth in 2003 by sketching a graph of P and measuring the slope of a tangent. (Sketch your graph so that it is a smooth curve through the points, and so that the tangent line has an x-intercept of 1999.3 and passing through the point (2006, 46.6). Round your answer to two decimal places.) percentage points per year
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS