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Submitted by Thman2c on Sat, 2013-04-27 20:28
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Exponential Growth

Hello,  I have attached a assignment that was not completed.. Please look at the word document and the spreadsheet which was not completed.  I need this completed in a rush before midnight if possible.

 

Assignment 1: Exponential Growth

In Module 4, you were introduced to the concept of exponential functions that can be used to model growth and decay. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing.

Click here to open the Microsoft Excel spreadsheet that you will use to perform the calculations for this assignment.

In the spreadsheet, perform the following operations:

  1. Input a population value into the box next to Initial Population on the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.
  2. Input a rate of growth for your population into the box next to Rate 1. Since we are interested in a positive annual percent growth rate per year, this number should be greater than zero percent. Be sure to input this number in the form of a decimal.
  3. Repeat the above procedure for Rate 2 and Rate 3. Make sure that the values you select differ by two percent. For example, the values 0.01, 0.03, and 0.05 would be good choices.
  4. Under the Time (years) column, input three different year values. Make sure that your values increase by a minimum of two years. For example, 3, 5, 7 years would be good choices.
  5. When you input all of your data, you’ll see that the spreadsheet has performed the calculations for the future size of each population, rate of growth, and time interval. Additionally, this information will be presented graphically in the chart.

Now that you’ve completed your analysis, it is now time to report the results and examine your findings.

In a Microsoft Word document, respond to the following:

  1. Calculate what the future size of the population will be, given a specific initial population, rate of growth, and time interval.

Use the exponential equation: Future value = Present value * exp(rt)

    • exp is the base "e"
    • r = annual rate of growth expressed as a percent
    • t = years

Note: The spreadsheet performed these calculations for you, so you can check the answer you obtain with those in the spreadsheet. In order to perform this calculation, you’ll need to have access to a scientific calculator that will have an ex button in order to perform the exp(rt) calculation. There are a number of free scientific calculators available over the Internet. Additionally, all smartphones have calculator apps that have a scientific mode. Check with your instructor for a list of currently available free options if you do not own a scientific calculator.

  1. Repeat the calculation for at least two other values of t; make sure they are at least two years apart from one another. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.
  1. Repeat the calculations using two more selections of population growth rate; ensure that each population growth rate is at least two percent different than the others. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.
  1. Examine the graph that your spreadsheet produced based upon the calculations. Did this graph consist of straight lines or curved lines? Describe the shape of these lines for each growth rate. How did they differ? Why?
  2. Explain the implications of growth rate for your population. What do you think will happen over a long period of time if a given population of organisms is allowed to increase without limits? Are there environmental factors that keep populations from growing exponentially unchecked? What would be the impact on environmental resources?
  3. Explain the likelihood of your results. Would it be expected that the percent growth rate would stay constant over long periods? Is exponential growth an appropriate assumption for long periods? If not, what other changes in population size might be expected?

For this assignment, you will submit a spreadsheet and a report. The spreadsheet will be the Microsoft Excel file containing your analysis. Name your Microsoft Excel file as follows: LastnameFirstInitial_M5_A1.xls.

The report will be a Microsoft Word document in which you will address all of the questions in this assignment in the form of a narrative. Name your Microsoft Word document as follows: LastnameFirstInitial_M5_A1.docx.

Submit both documents to the M5: Assignment 1 Dropbox by Saturday, April 20, 2013.

Assignment 1 Grading Criteria
Maximum Points
Select a population size (population could consist of people, animals, microorganisms, or plants).
20
Select a positive annual percent growth rate per year, which should be greater than 0%.
20

Calculate what the future size of the population will be, given the below assumptions.

Use the exponential equation:

  • Future value = Present value *exp(rt)
  • Where exp is the base “e” of exponential,
  • r = annual rate of growth, expressed as a percent
  • t = years
20
Repeat the calculation for SECOND value of t (make sure they are at least two years apart from one another).
20
Repeat the calculation for THIRD value of t (make sure they are at least two years apart from one another).
20
Graph the results for population growth by % growth rate, vs. time in years for all FIRST calculations of t.
40
Graph the results for population growth by % growth rate, vs. time in years for all SECOND calculations of t.
40
Graph the results for population growth by % growth rate, vs. time in years for all THIRD calculations of t.
40
Explain the implications of this growth rate for the population’s resource use and the environment.
40
Explain the likelihood of your above results.

Would it be expected that the % growth rate would stay constant over long periods?
40
Total:
300

            

 

Answer
Submitted by MathematicsEx... on Sat, 2015-08-29 16:57
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Solution (Text & EXCEL), A+ Grade Guaranteed

body preview (19 words)

xxxxxx give x xxxxxx to xx solution and xxx me xxxx whenever you need help in xxxxxxx xxxxx xxxx

file1.docx preview (918 words)

Let the xxxxxxx xxxxxxxxxx of domestic cats in x town xx xxxx

In xxxx study xx shall consider three xxxxxx xxxxxx rates of xxx xx xxx 6% xxx modelling xxx xxxxxx of xxx population of domestic xxxx for this town.

The following xxxxxxx xxxxx be used xxx calculating the xxxxxxxxxx xxxxx x years:

Annual xxxxxx Rate, x x xx

Time (years), x x 5

xxx xxxxxxxxxx of domestic xxxx xx xxx town after x xxxxxx considering xx initial population xx 250 and rate of xxxxxx xx 2% xxx xx calculated xx xxxxxxxx

xxxxxxxxx with xx xxxxxxx xxxxxxxxxx of 250 xxxxxxxx cats xxxxxxx xx an annual xxxx of xxx xxx xxxxxx xxxxxxxxxx xx xxxxxxxx cats in the town xxxxx 5 xxxxx is xxxxxxxx to xx 276.

Annual xxxxxx Rate, r x xx

Time xxxxxxxx x = 10

The population of xxxxxxxx cats xx xxx xxxx xxxxx xx years, xxxxxxxxxxx xx initial population xx 250 xxx xxxx of xxxxxx of 2% can be calculated as follows:

xxxxxxxxx xxxx an xxxxxxx population xx xxx domestic xxxx growing at xx annual xxxx of xxx the

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file2.xlsx preview (22 words)

xxxxxx

xxxxxxxxx
Initial xxxxxxxxxx xxx xxxx 1xxxx
Rate 2xxxx
xxxx 3 0.06
xxxx (years)Future xxxxxxxxxx for xxxx xxxxxxx Population for Rate xxxxxxx Population xxx Rate 3
5 276 xxx337
xxxxx 372 xxx
xx 412 xxx xxxx

Sheet2

Sheet3


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Answer
Submitted by schoolbench on Fri, 2016-06-10 10:32
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(EXCEL + DOCUMENT) THIS HAS BEEN GRADED A+++ USE AS A GUIDE

body preview (19 words)



xxxxxx see attached file

xxx xxxxxxx used xx x student. xxxxxxx xxx xxxxxxxx xxx use only as x guide

file1.zip preview (653 words)

answer/Final xxxxxxxxxxx

I xxxxxx an xxxxxxx xxxxxxxxxx of xxxxxxx to xxx xx this investigation. x then used xxx exponential equation: xxxxxx xxxxx x xxxxxxx Population x xxx xx calculate xxx xxxxx population xxxxx a given xxxxxx xx xxxxx In xxxx equation, e xx the natural number xxxxxxxxxxxxxx xxxxxxxx r xx xxx xxxxxx xxxx xx xxxxxx expressed as x xxxxxxxx and x is xxxx having passed xx years.

I xxxx calculated the population after xx years xxxxx three xxxxxxxxx growth rates – xxx xxx and 9%.

Population xx xxxxx xxxx x Initial Population * ert

xxx Rate x x 123456 * xxxxxx x 15) x xxxxxxxxxx xxxxxxxxx with value xxxx spreadsheet xx 261356 For xxxx 2 x 123456 x xxxxxx x 15) = 352794.18, xxxxxxxxx with value from xxxxxxxxxxx of 352794

xxx Rate 3 x 123456 x e(0.09 * xxx xxxxxxxxxxx confirmed xxxx xxxxx from xxxxxxxxxxx xx 476222

I xxxxxxxx xxx process to xxxx the xxxxxxxxxx after xx years.

xxxxxxxxxx xx xxxxxx xxxx = xxxxxxx Population * ert

xxx xxxx 1 x xxxxxx * e(0.05 * 30) = 553291.41, confirmed xxxx value from spreadsheet of = xxxxxx

For xxxx 2 = xxxxxx x xxxxxx x 30) = 1008162.67, xxxxxxxxx xxxx xxxxx from spreadsheet xx = xxxxxxx

xxx Rate x = xxxxxx x xxxxxx x xxx x xxxxxxxxxxx xxxxxxxxx xxxx xxxxx xxxx spreadsheet of x xxxxxxx

And I xxx the xxxx xxxxx for after 45 xxxxxx

xxxxxxxxxx xx xxxxx xxxx x Initial xxxxxxxxxx * xxx

For xxxx 1 = 123456 * xxxxxx * 45) = xxxxxxxxxxx confirmed xxxx xxxxx from xxxxxxxxxxx xx x 1171317

xxx Rate 2 = xxxxxx *

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Answer
Submitted by xstria on Tue, 2015-10-06 09:28
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MAT106 Module 5 Assignment 1 LASA 2 Exponential Growth

body preview (6 words)

MAT106 Module x xxxxxxxxxx 1 xxxx x xxxxxxxxxxx Growth

file1.zip preview (1189 words)

xxxxxx Module x Assignment x LASA 2 xxxxxxxxxxx Growth.docx

Running xxxxx EXPONENTIAL GROWTH: LASA2 1

EXPONENTIAL xxxxxxx LASA2 2

“Exponential Growth”

Name

Argosy xxxxxxxxxx

xxxxxxxxxxxx Literacy

xxxxxx

Professor:

x xxxx used the xxxxxxxxx xxxxxxx xx xxxxxxxxxxx functions to calculate xxx growth of xxxxxx’s xxxxxxxxxx size that were xxxxxxx residing xx xx xxxxxxx xxx xxxx the initial population xxxx xx xxxx x will xxxxxxxxx xxx size of xxx xxxxxxxxxx xxxxxx xxxxxx xx x rate of x percent in 10 xxxxxx x xxxxxxx in 20 xxxxx and 5 xxxxxxx in xx xxxxx’ time xxxxxxxxx

xxxxx the exponential equation xxxxxxx for xxxx Future xxxxx xxxxxx to: to xxx xxxxxxx value; xx xxx xxxxxx (rt)

xxx being xxx base xxx

r xxxxxx xx the xxxxxx rate xx xxxxxx expressed as x percent

t equals to the years

“The term xxxxxxxxxxx function xx xxxx as x shortcut xxx the xxxxxxx xxxxxxxxxxx xxxxxxxx xxx xxxxx x is xxxxxxx xxxxxxx x number xxxxxxxxxxxxxx 2.718281828)

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