For each year, t the population of a forest of trees, call it Forest A, is represented by the function A(t)= 102(1.023)^ t. In a neighboring forest, call it Forest B, the population of the same type of tree is represented by the function B(t)= 88(1.026)^ t. a. Which forest's population is growing at a faster rate? b.Which forest had a greater number of trees initially? By how many (round to the nearest tree)? trees c. Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 100years (round to the nearest tree)? By how many? trees
For each year, t the population of a forest of trees, call it Forest A, is represented by the function A(t)= 102(1.023)^ t. In a neighboring forest, call it Forest B, the population of the same type of tree is represented by the function B(t)= 88(1.026)^ t. a. Which forest's population is growing at a faster rate? b.Which forest had a greater number of trees initially? By how many (round to the nearest tree)? trees c. Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 100years (round to the nearest tree)? By how many? trees
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 53E
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For each year, t the population of a forest of trees, call it Forest A, is represented by the function A(t)= 102(1.023)^ t. In a neighboring forest, call it Forest B, the population of the same type of tree is represented by the function B(t)= 88(1.026)^ t.
a. Which forest's population is growing at a faster rate?
b.Which forest had a greater number of trees initially?
By how many (round to the nearest tree)? trees
c. Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 100years (round to the nearest tree)?
By how many? trees
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