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marishachu [46]
3 years ago
6

Population 820 quake increases an annual rate of 22% so what will the approximate population be after 3 years?

Mathematics
1 answer:
ss7ja [257]3 years ago
5 0
The general form of exponential function ⇒⇒ a * b^x
Where: a is the initial value and b is the rate
b > 1 ⇒⇒ exponential growth or exponential increase
b < 1 ⇒⇒ exponential decay or exponential decrease

Given:   The initial population = 820
The annual rate = 23% = 0.23
The total ration between the adjacent years = 1+0.23 = 1.23

So, the exponential function to model this population is 
f(x)= 820*1.23^x

After 3 years ⇒⇒⇒ x = 3
∴ f(x) = 820 * 1.23^3 = 1,525.91 ≈ 1,526


The correct answer is:
f(x)= 820*1.23^x  ; 1,526


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