The rate of increase of the population of a certain city is proportional to the population. In 1970, the population was 50,000 and in 2000 it was 75,000. Find a function n(t)=n,e" that models the population after t years since 1970. а. b. What will the population be in 2030? С. How long will it take for the population to reach 300,000?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 15PFA
icon
Related questions
Question
The rate of increase of the population of a certain city is proportional to the
population. In 1970, the population was 50,000 and in 2000 it was 75,000.
Find a function n(t)=n,e" that models the population after t years since 1970.
а.
b.
What will the population be in 2030?
С.
How long will it take for the population to reach 300,000?
Transcribed Image Text:The rate of increase of the population of a certain city is proportional to the population. In 1970, the population was 50,000 and in 2000 it was 75,000. Find a function n(t)=n,e" that models the population after t years since 1970. а. b. What will the population be in 2030? С. How long will it take for the population to reach 300,000?
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning