For each year t, the population of a forest of trees is represented by the function A(t)=82(1.025)^t. In a neighboring forest, the population of the same type of trees is represented by the function B(t)=95(1.029)^t. 1. Which forest's population is growing at a faster rate? 2. Which forest had a greater number of trees initially? 3. Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 15 years? and by how many?
For each year t, the population of a forest of trees is represented by the function A(t)=82(1.025)^t. In a neighboring forest, the population of the same type of trees is represented by the function B(t)=95(1.029)^t. 1. Which forest's population is growing at a faster rate? 2. Which forest had a greater number of trees initially? 3. Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 15 years? and by how many?
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
Related questions
Question
For each year t, the population of a forest of trees is represented by the function A(t)=82(1.025)^t. In a neighboring forest, the population of the same type of trees is represented by the function B(t)=95(1.029)^t.
1. Which forest's population is growing at a faster rate?
2. Which forest had a greater number of trees initially?
3. Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 15 years? and by how many?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
