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:
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:
Use the exponential equation:
Future value = Present value * exp(rt)
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.
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 x.
Submit both documents to the M5: Assignment 1 Dropbox by Saturday, April 20, 2013.
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Assignment 1 Grading Criteria  Maximum Points 
Select a population size (population could consist of people, animals, microorganisms, or plants).  
Select a positive annual percent growth rate per year, which should be greater than 0%.  
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 percentt = years 

Repeat the calculation for SECOND value of t (make sure they are at least two years apart from one another).  
Repeat the calculation for THIRD value of t (make sure they are at least two years apart from one another).  
Graph the results for population growth by % growth rate, vs. time in years for all FIRST calculations of t.  
Graph the results for population growth by % growth rate, vs. time in years for all SECOND calculations of t.  
Graph the results for population growth by % growth rate, vs. time in years for all THIRD calculations of t.  
Explain the implications of this growth rate for the population’s resource use and the environment.  
Explain the likelihood of your above results. Would it be expected that the % growth rate would stay constant over long periods?  
Total:  300 
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Initial Popluation  Rate 1  
Rate 2  
Rate 3  
Time (years)  Future Population for Rate 1  Future Population for Rate 2  Future Population for Rate 3  
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Sheet1
Future Population for Rate 1
Future Population for Rate 2
Future Population for Rate 3