Evaluating and Solving an Linear and Exponential Applications Identify the information given to you in the application problem below. Use that information to answer the questions that follow. For part a) and b), round your answers to two decimal places as needed. For part c) and d), round your answer to the nearest whole number (person). In 2010, the estimated population of Pottsville, USA was 32045. By 2011, the population had grown to 36457. Assuming that the growth is linear, construct a linear equation that expresses the population, P, of Pottsville t years since 2010. P(t) = Assuming that the growth is exponential, construct an exponential equation that expresses the population, P, of Pottsville t years since 2010. P(t) = If the population of Pottsville is growing at a linear rate, estimate the population in the year 2015. If the population of Pottsville is growing at a linear rate the population in the year 2015 will be approximately people. If the population of Pottsville is growing at an exponential rate, estimate the population in the year 2015. If the population of Pottsville is growing at an exponential rate, the population in the year 2015 will be approximately people.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Evaluating and Solving an Linear and Exponential Applications
Identify the information given to you in the application problem below. Use that information to
answer the questions that follow.
For part a) and b), round your answers to two decimal places as needed. For part c) and d), round
your answer to the nearest whole number (person).
In 2010, the estimated population of Pottsville, USA was 32045. By 2011, the population had
grown to 36457.
Assuming that the growth is linear, construct a linear equation that expresses the population,
P, of Pottsville t years since 2010.
P(t) =
=
Assuming that the growth is exponential, construct an exponential equation that expresses
the population, P, of Pottsville t years since 2010.
P(t) =
=
If the population of Pottsville is growing at a linear rate, estimate the population in the year
2015.
If the population of Pottsville is growing at a linear rate the population in the year 2015 will be
approximately
people.
If the population of Pottsville is growing at an exponential rate, estimate the population in the
year 2015.
If the population of Pottsville is growing at an exponential rate, the population in the year 2015
will be approximately
people.
Transcribed Image Text:Evaluating and Solving an Linear and Exponential Applications Identify the information given to you in the application problem below. Use that information to answer the questions that follow. For part a) and b), round your answers to two decimal places as needed. For part c) and d), round your answer to the nearest whole number (person). In 2010, the estimated population of Pottsville, USA was 32045. By 2011, the population had grown to 36457. Assuming that the growth is linear, construct a linear equation that expresses the population, P, of Pottsville t years since 2010. P(t) = = Assuming that the growth is exponential, construct an exponential equation that expresses the population, P, of Pottsville t years since 2010. P(t) = = If the population of Pottsville is growing at a linear rate, estimate the population in the year 2015. If the population of Pottsville is growing at a linear rate the population in the year 2015 will be approximately people. If the population of Pottsville is growing at an exponential rate, estimate the population in the year 2015. If the population of Pottsville is growing at an exponential rate, the population in the year 2015 will be approximately people.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,