The population of Springfield is currently 41,250. If Springfield’s population increases by 2% of the previous year’s population, use this information to find the population after 4 years?
2 Answers
Jul 3, 2018
population after
Explanation:
Given: Springfield, population
Use the formula for increasing population:
where
Jul 3, 2018
Years in order: starting with a population of
42,075 people42,917 people43,775 people44,651 people
Explanation:
Your rule for population increase in Springfield is
a means population you are about to calculate anda-1 means the next year's population.
Therefore...
a=0 with 41,250 peoplea=1 with 42,075 people
41,250+0.02(41,250)=41,250+825=42,075 a=2 with 42,917 people
42,075+0.02(42,075)=42,075+841.5=42,916.5\approx42,917
(\color(indianred)(\text(You cannot have half a person, so round up.)) )a=3 with 43,775 people
42,917+0.02(42,917)=42,917+858.34=43,775.34\approx43,775
(\color(indianred)(\text(You cannot have half a person, so round down.)) )a=4 with 44,651 people
43,775+0.02(43,775)=43,775+875.5=44,650.5\approx44,651
(\color(indianred)(\text(You cannot have half a person, so round up.)) )