Answer:
Option C. 4 years
Step-by-step explanation:
Population growth of a town is described by the equation
[tex]30000=(15500)(1.18)^{x}[/tex]
where x is the number of years.
Now we have to calculate the duration after which population of the town will be 30000 with an average growth rate of 18%.
We will use the equation to get the value of x.
[tex]30000=(15500)(1.18)^{x}[/tex]
[tex]1.18^{x}=\frac{30000}{15500}=1.94[/tex]
Now we take log on both the sides of the equation.
Log(1.94) = xlog(1.18)
0.2878 = .0719x
[tex]x = \frac{0.2878}{0.0719}=4[/tex]
Therefore after 4 years population of the town will be 30000.
