Exponential math

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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 Dropboxby Saturday, February 1, 2014.

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:

 

 

 

Initial Popluation 0 Rate 1 0
   Rate 2 0
   Rate 3 0
    
    
Time (years) Future Population for Rate 1 Future Population for Rate 2 Future Population for Rate 3
0 0 0 0
0 0 0 0
0 0 0 0

 

300

 
 
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