Homework Help is Here – Start Your Trial Now!
Math
Calculus
With U.S. Census Bureau data (actual and projected) for selected years from 1960 to 2050, the rate of change of U.S. population P can be modeled by dP = -0.0002187t2 + 0.0276t + 1.98 dt O represents the year 1960. million people per year, where t (a) During what year does this rate of change reach its maximum? (b) In 1960, the U.S. population was 181 million. Use this to find a model for P(t). P(t) = (c) For 2025, the Census Bureau's predicted U.S. population is 348 million. What population does the model predict? (Round your answer to the nearest million.) million

With U.S. Census Bureau data (actual and projected) for selected years from 1960 to 2050, the rate of change of U.S. population P can be modeled by dP = -0.0002187t2 + 0.0276t + 1.98 dt O represents the year 1960. million people per year, where t (a) During what year does this rate of change reach its maximum? (b) In 1960, the U.S. population was 181 million. Use this to find a model for P(t). P(t) = (c) For 2025, the Census Bureau's predicted U.S. population is 348 million. What population does the model predict? (Round your answer to the nearest million.) million

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....
See similar textbooks
icon
Related questions
Question
With U.S. Census Bureau data (actual and projected) for selected years from 1960 to 2050, the rate of change of U.S. population P can be modeled by dP = -0.0002187t2 + 0.0276t + 1.98 dt O represents the year 1960. million people per year, where t (a) During what year does this rate of change reach its maximum? (b) In 1960, the U.S. population was 181 million. Use this to find a model for P(t). P(t) = (c) For 2025, the Census Bureau's predicted U.S. population is 348 million. What population does the model predict? (Round your answer to the nearest million.) million
Transcribed Image Text:With U.S. Census Bureau data (actual and projected) for selected years from 1960 to 2050, the rate of change of U.S. population P can be modeled by dP = -0.0002187t2 + 0.0276t + 1.98 dt O represents the year 1960. million people per year, where t (a) During what year does this rate of change reach its maximum? (b) In 1960, the U.S. population was 181 million. Use this to find a model for P(t). P(t) = (c) For 2025, the Census Bureau's predicted U.S. population is 348 million. What population does the model predict? (Round your answer to the nearest million.) million
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
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
SEE MORE TEXTBOOKS