(a)
\To solve the initial population in we can set
and use the equation
.
Substitute the values in the equation.
\Therefore, the exponential growth model is .
(b)
\Population in 2015 :
\The population of the country in can be calculated by substituting
in the equation
Therefore, the population in is
.
(c)
\Relationship between and change in population in the country :
A negative rate corresponds to population decline.
Because , the population is decreasing.
(a)
\The exponential growth model is .
(b)
\The population in is
.
(c)
\A negative rate corresponds to population decline.