#Written Homework
#1.1 Linear Growth
#Question 6
(53555-20610)/(2010-1976)
## [1] 968.9706
#Answer: 969
#Question 7
20610+34*969
## [1] 53556
#Question 8
53555+15*969
## [1] 68090
#Answer: 68,090
#1.2 Exponential Growth
#Question 12
5000000000*(1.02)^37
## [1] 10403425453
#Answer: 10.4 billion / 10,403,425,453 (rounded) or 10,403,425,452.950089 (exact based on wolfram)
#Question 13
#Answer: Based on the data from census.gov stating there are approximately 8.1 billion people the actual growth rate is around 1.3% to 1.4%.
#Question 14
94+.04*94*(1-94/300)
## [1] 96.58187
#Answer: 97 (rounded) or 96.58187 (exact)
#Question 15
97+.04*97*(1-97/300)
## [1] 99.62547
#Answer: 100 (rounded) or 99.62547 (exact)
96.58187+.04*96.58187*(1-96.58187/300)
## [1] 99.2014
#Answer 2: Just to be more exact, because I am a bit weird. The more precise number would be 99 wolves or 99.2014 exactly.
#Question 16
2000+.05*2000*(1-2000/10000)
## [1] 2080
#Answer: 2080
#Question 17
2080+.05*2080*(1-2080/10000)
## [1] 2162.368
#Answer: 2162 (rounded) or 2162.368 (exact)
#Question 18 & 19
#Answer: Check excel sheet attached seperately for work.