Answer:
Hence, the population would be about 4872 after 10 years.
Step-by-step explanation:
It is given that:
The population of a certain island has an annual growth rate of 6.9%.
This implies the population is growing at 0.069 times the previous population.
Hence, this situation could be modeled with the help of a population function P(t) as:
P(t)=p(1+0.069)^t
where p is the initial population of the island.
and t is the number of years.
Here we have p=2500.
and we are asked to find the value of the function P(t) at t-10.
The value is calculated as:
[tex]P(t)=2500\times (1.069)^{10}[/tex]
which approximately gives:
P(t)=4872.11
Hence, the population would be about 4872 after 10 years.
