Answer:
a) p = 1229.6t
b) 45,495 people
c) 2083
Explanation:
a) Time since 2002 - 2017: 15 years.
Population growth over this time: 18,444 people
If the number of people increases by 18,444 in 15 years, then it is increasing 1229.6 yearly. So, our relationship is p = 1229.6t, where p is the population, measured by t years since 2002
b) 2039 is 37 years from 2002. Simply plug in 37 for t in our equation and solve for p:
p = 1229.6(37)
.: p = 45,495.2
Round this to the nearest whole number, since people cannot be decimals, and we get 45,495 people by the year 2037
c) This is the opposite of question b, and now they have given us a value of p and asked us to solve for t:
100,000 = 1229.6t
t = 100,000/1229.6
.: t ≅81.3
We can round this down to 81 years after 2002. Since the question asks what year this population will be reached, we just add 81 to 2002, and get our answer, the year 2083
have a nice day! :)