A population of a town grows according to the law of uninhibited growth modeled by the function P(t) = Poekt !! where P is measured in thousands and t is measured in years. If the initial population of this town was 12,000 and it doubles every 8 years, find the growth rate, k. Provide EXACT value for k. Then approximate it to FOUR decimal places. Show all the steps and write the final answer in the space provided. Exact k= Approximate:

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this...
icon
Related questions
Question
A population of a town grows according to the law of uninhibited growth modeled
by the function
P(t) = Poekt
!!
where P is measured in thousands and t is measured in years.
If the initial population of this town was 12,000 and it doubles every 8 years, find the
growth rate, k. Provide EXACT value for k. Then approximate it to FOUR decimal places.
Show all the steps and write the final answer in the space provided.
Exact
k=
Approximate:
Transcribed Image Text:A population of a town grows according to the law of uninhibited growth modeled by the function P(t) = Poekt !! where P is measured in thousands and t is measured in years. If the initial population of this town was 12,000 and it doubles every 8 years, find the growth rate, k. Provide EXACT value for k. Then approximate it to FOUR decimal places. Show all the steps and write the final answer in the space provided. Exact k= Approximate:
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax