SOLUTION: Topics In Contemporary Math Exponential Growth 5)The population of bison was almost hunted to extinction when the United States expanded westward. The population decreased b

Question 1190145: Topics In Contemporary Math
Exponential Growth
5)The population of bison was almost hunted to extinction when the United States
expanded westward. The population decreased by 40% per year when the expansion
began in 1803. If the herds of bison originally contained 500,000 bison, how many were
left in 1820?
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!

x = number of years
y = population in thousands

The gap from 1803 to 1820 is 1820-1803 = 17 years.

Plug in x = 17 to find the y value
y = a*b^x
y = 500*(1-0.40)^x
y = 500*(0.60)^x
y = 500*(0.60)^17
y = 0.084633 approximately

y is the population in thousands, so multiply that approximate result by 1000
1000*0.084633 = 84.633
That rounds to 85

Answer: 85

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