Answer:
The expression is
[tex]y=9,900(1.023)^5[/tex]
[tex]11,092\ people[/tex]
Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to
[tex]y=a(1+r)^x[/tex]
where
y is the population
x is the number of years
r is the rate of change
a is the initial value or y-intercept
we have
[tex]a=9,900\\r=2.3\%=2.3/100=0.023[/tex]
substitute the given values
[tex]y=9,900(1+0.023)^x[/tex]
[tex]y=9,900(1.023)^x[/tex]
For x=5 years
substitute in the exponential equation
[tex]y=9,900(1.023)^5[/tex]
[tex]y=11,092\ people[/tex]
