Answer: [tex]f(t)=35400(1.02)^t[/tex]
Step-by-step explanation:
The exponential growth function is given by :-
[tex]f(t)=A(1+r)^t[/tex]...(i)
, where A = initial value , r= rate of growth ( in decimal) and t is time (usually in years).
Given,The population of a city is 35,400. The population is expected to grow at a rate of 2% each year.
i.e. A= 35,400
r=2%=0.02 [we divide percent by 100 to convert it into decimal]
Substitute all values in (i), we get the function represents the population of the city after t years :
[tex]f(t)=35400(1+0.02)^t\\\\f(t)=35400(1.02)^t[/tex]
