In 2000, the population of Israel was approximately 6.04 million and by 2050 it is projected to grow to 10 million. Agekt, in Use the exponential growth model A = which t is the number of years after 2000, to find an exponential growth function that models the data. %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.1: Introduction To Systems Of Linear Equations
Problem 10EQ: In Exercises 7-10, find a linear equation that has the same solution set as the given equation...
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Section 3.5
Exponential Growth and Decay; Modeling Data
Exponential Growth and Decay Model
A = A̟ekt
Logistic Growth Model
A =
1+ae-bt
Newton's Law of Cooling
T = C+ (T,– C)ekt
Objective #1: Model exponential growth and decay.
A Pencil Problem #1
In 2000, the population of Israel was
approximately 6.04 million and by 2050 it is
projected to grow to 10 million.
Solved Problem #1
In 2000, the population of Africa was 807 million
and by 2011 it had grown to 1052 million.
1.
Use the exponential growth model A = A‚ekt, in
vhich t is the number of years after 2000, to find
e exponential growth function that models the
ta.
la. Use the exponential growth model A = A,ekt in
which t is the number of years after 2000, to find
an exponential growth function that models the
data,
11 years after 2000.
nen t=11, A=1052.
these values to find k.
kt
k(11)
07ek(1)
11k
052
R07.
on is A=807e.024t
Transcribed Image Text:Section 3.5 Exponential Growth and Decay; Modeling Data Exponential Growth and Decay Model A = A̟ekt Logistic Growth Model A = 1+ae-bt Newton's Law of Cooling T = C+ (T,– C)ekt Objective #1: Model exponential growth and decay. A Pencil Problem #1 In 2000, the population of Israel was approximately 6.04 million and by 2050 it is projected to grow to 10 million. Solved Problem #1 In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million. 1. Use the exponential growth model A = A‚ekt, in vhich t is the number of years after 2000, to find e exponential growth function that models the ta. la. Use the exponential growth model A = A,ekt in which t is the number of years after 2000, to find an exponential growth function that models the data, 11 years after 2000. nen t=11, A=1052. these values to find k. kt k(11) 07ek(1) 11k 052 R07. on is A=807e.024t
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