Problema Solution
The population of a town has grown at an annual rate of approximately 2.7%.
a) what is the population after 10 years?
b) how long will it take for its population of 18,450 people to double at this growth rate? explain how you foubd your answer.
Answer provided by our tutors
the function to model the population growth as
P(t) = 18450(1+ 0.027)^t
where P(t) represents the population after t years
a) what is the population after 10 years?
t = 10 years
P(10) = 18450(1+ 0.027)^10
P(10) = 24,082 people
click here to see the step by step calculation:
after 10 years the population is 24,082 people.
b) how long will it take for its population of 18,450 people to double at this growth rate? explain how you foubd your answer
we need to find t such that P(t) = 2*18,450 and also P(t) = 18450(1+ 0.027)^t
18450(1+ 0.027)^t = 2*18450
t = 26 years
click here to see the step by step solution of the equation: