GIVEN DATA : The population in 2005 is 28,300.

Population is continuously increasing annually with the rate 7%

TO FIND : The population of district in 2020.

EXPONENTIAL GROWTH FUNCTION:

If a quantity grows continuously by a fixed percent, the pattern can be depicted by this function

\(A=A_oe^{rt}\)

where \(A_o\) is the initial value.

A is amount after growth or decay

t is time period

e=2.7182

r is the growth or decay rate

From the given data In 2005 population is 28300 i.e at

\(t=0, A_o=28300\)

growth rate r=7%=0.07

we need to find the population in 2020 thud time period will be t=15

Use the data in the Continuous Exponential Growth function:

\(A=A_oe^{rt}\)

\(A=(28300)e^{((0.07)(1.5))}\)

\(A=(28300)e^{1.05}\)

\(A=(28300)(2.718)^{1.05}\)

A=(28300)(2.857)

A=80853

Thus the population in year 2020 is 80,853 people