The population will be 16,600 in 198 years from now if the town with a population of 4,150 doubles in size every 99 years.
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]y = a^x[/tex]
where a is a constant and a>1
We have:
Town with a population of 4,150 doubles in size every 99 years
The exponential growth function is given by:
y= C(1+r)ˣ
The rate of increase can be calculated as:
1 + r = 2 (because double the population means 200%)
r = 1
C = 4150
t = 198/99 = 2
y= 4150(1+1)²
y = 16,600
Thus, the population will be 16,600 in 198 years from now if the town with a population of 4,150 doubles in size every 99 years.
Learn more about the exponential function here:
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