Answer:
b)-2.4% year
Step-by-step explanation:
The population growth can be calculated by the following equation.

In which
is the population in t years from now,
is the population in the current year and r(decimal) is the growth rate.
is the Euler number.
The current population of South Korea is 50 million, so

2750 is 2750 - 2019 is 731 years from now. So we have that
. The population is going to be extinct, so
.
So, we can replace the values of
and t in the equation, and see for which growth rate
.
a) 0.012 % year
This is a positive growth rate, which means that the population will not be going extinct. So this is not the alternative
b)-2.4% year



Population of 1 person, basically extinct. This is the correct answer
c)-0.01% year'



Population still at 24 million, it does not goes extinct.
d)-0.012% year



Population still at almost 21 million, it does not goes extinct.