Problem

For the following exercises, consider this scenar…

01:03

Problem 9 Easy Difficulty

For the following exercises, consider this scenario: For each year $t$, the population of a forest of trees is represented by the function $A(t)=115(1.025)^{t}$.In a neighboring forest, the population of the same type of tree is represented by the function $B(t)=82(1.029)^{t}$. (Round answers to the nearest whole number.)
Which forest’s population is growing at a faster rate?

Answer

$B(t)=82(1.029)^{t}$

Topics

Functions

Exponential and Logarithmic Functions

Book Cover for College Algebra (Op…

College Algebra (Open Stax)

Chapter 6

Exponential and Logarithmic Functions

Section 1

Exponential Functions

Discussion

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KM

Kira M.

November 21, 2020

KM

Kira M.

November 21, 2020

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Video Transcript

So if we want to compare to exponential functions, we can see which has faster growth by looking at B base in our examples here, A has a base went Syria to five B has a base of 0.29 So although a has a lot to start in, Population B is going too fast growth over the long term. The real question is, how much time do we need for that? So really make a difference.

Joanna Q.

Other Schools

Topics

Functions

Exponential and Logarithmic Functions

Book Cover for College Algebra (Op…

College Algebra (Open Stax)

Chapter 6

Exponential and Logarithmic Functions

Section 1

Exponential Functions

Top Algebra Educators

Anna Marie V.

Campbell University

MG

Maria G.

Numerade Educator

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University