Answer: a) k= 0.025
The exponential growth function in time t is given by :-
,
b) In year 2033 the population will reach to 176,000.
Step-by-step explanation:
The exponential growth function in time t is given by :-
, where k is the rate of growth , is the initial population.
Given : In 2016 , the initial population of town =
The rate of growth per year=
Which can be written as
Let t be the number of years since 2016 to take population reach 176,000.
Then , the required equation will be :-
Taking log on both sides , we get
Thus it will take 17 years since 2016 to reach population 176,000.
Hence, In year 2033 the population will reach to 176,000.