Answer:
The correct option is A.
Step-by-step explanation:
The general exponential growth model is defined as
[tex]f(x)=a(1+r)^x[/tex]
Where, a is initial value, r is growth rate and x is time.
The initial population of town is 9800 and growth rate is 2%. The population growth model is defined as
[tex]f(x)=9800(1+\frac{2}{100})^x[/tex]
[tex]f(x)=9800(1+0.02)^x[/tex]
[tex]f(x)=9800(1.02)^x[/tex]
Put x=7 to find the estimated population after 7 years.
[tex]f(x)=9800(1.02)^7[/tex]
[tex]f(x)=11257.119543\approx 11257[/tex]
Therefore the correct option is A.
