Answer:
After 24 years population of the city will be 27000.
Step-by-step explanation:
Since the population of a city gets tripled in 8 years means the sequence formed is an exponential function.
Now the function will be \(P=P_{0}(r)^{kt}\)
Here P = Population after time t
P0 = initial population
r = common ratio
k = constant
t = period
Now we put the values in the equation.
\(3000=1000(3)^{8k}\)
\(3^{1}=3^{8k}\)
8k = 1
\(k=\frac{1}{8}\)
Now we have to find the population after 24 years
\(P=1000(3)^{\frac{24}{8}}=1000(3)^{3}=27000\)
Therefore after 24 years population of the city will be 27000.
