The population of a Midwest industrial town decreased from 220,000 to 216,000 in just 4 years. Assuming that this trend continues, what will the population be after an additional 5 years?
Answers
Answer:
Step-by-step explanation:
Two ways:
Straight line Decrease and Exponential decrease.
In real life it will be exponential decrease.
224000*(1-x)^2 = 219000
(1-x)^2 = 219000/224000 = .9772
1-x =sqrt(.9772) = .9885
5 YEARS LATER:
219000*.9885^5=206693.8
I first set up the equation as a ratios. I need to find the differences between the decline in population and the decline in years. The decline in population went from 224,000 to 119,000, which is a decline of 5,000 after 2 years, which is expressed as:
5,000 = X (Decline in population after 5 years)
2 years 5 years
When you cross multiply, you get: 2X = 25,000
X = 12,500
That is not the answer yet. X is the decline in population which must be then subtracted from the current population of 219,000.
219,000 - 12,500 = 206,500