The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. (a) Find an exponential model for these data and use the model to predict the world population in 2020. (b) According to your model, when will the world population exceed 10 billion?
The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. (a) Find an exponential model for these data and use the model to predict the world population in 2020. (b) According to your model, when will the world population exceed 10 billion?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:### World Population Growth Modelling
The population of the world was recorded to be 5.28 billion in the year 1990 and 6.07 billion in the year 2000.
#### Task Instructions:
(a) **Finding an Exponential Model:**
- Develop an exponential model to represent the population data given for the years 1990 and 2000.
- Utilize the exponential model to predict the world population for the year 2020.
(b) **Population Prediction:**
- Based on your model, determine the year in which the world population is expected to exceed 10 billion.
**Note:** An exponential model typically takes the form \( P(t) = P_0 e^{rt} \), where:
- \( P(t) \) is the population at time \( t \),
- \( P_0 \) is the initial population,
- \( r \) is the growth rate,
- \( t \) is the time in years,
- \( e \) is the base of the natural logarithm.
Apply this model to solve the tasks outlined above.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
