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 37422. By 2011, the population had grown to 39583. 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 2017. If the population of Pottsville is growing at a linear rate the population in the year 2017 will be approximately people. If the population of Pottsville is growing at an exponential rate, estimate the population in the year 2017. If the population of Pottsville is growing at an exponential rate, the population in the year 2017 will be approximately people.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 37422. By 2011, the population had grown to
39583.
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 2017.
If the population of Pottsville is growing at a linear rate the population in the year 2017 will be
approximately
people.
If the population of Pottsville is growing at an exponential rate, estimate the population in the year 2017.
If the population of Pottsville is growing at an exponential rate, the population in the year 2017 will be
approximately
people.
Mui
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 37422. By 2011, the population had grown to 39583. 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 2017. If the population of Pottsville is growing at a linear rate the population in the year 2017 will be approximately people. If the population of Pottsville is growing at an exponential rate, estimate the population in the year 2017. If the population of Pottsville is growing at an exponential rate, the population in the year 2017 will be approximately people. Mui
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