Answer: [tex]11000=5000(1.087)^t[/tex]
Explanation:
The exponential growth function is given by :-
[tex]f(x)=A(1+r)^t[/tex], where A is the initial value , r is rate of growth and t is the time period.
Given: The initial population of attendees (in 2012) =5,000
The rate of growth = 8.7 %=0.087
If t is the number of years after 2012 , then the exponential growth function that models the given situation will be :-
[tex]f(x)=5000(1+0.087)^t\\\\\Righatrrow\ f(x)=5000(1.087)^t[/tex]
Now, the equation that could be used to determine how long it will take the number of attendees to reach 11,000 will be :-
[tex]11000=5000(1.087)^t[/tex]
