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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.4: Applications Of Logarithmic Functions
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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.
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