Step 1 :The question is asking for the number of outlets available in the year 2010. We can use the given formula \(A(t)=230(2.84)^{t}\) to calculate this. Here, \(t\) is the number of years after 2006. So for the year 2010, \(t\) would be 4. We can substitute \(t=4\) into the formula and calculate the result.
Step 2 :Substitute \(t=4\) into the formula \(A(t)=230(2.84)^{t}\).
Step 3 :Calculate \(A(4) = 230(2.84)^{4}\).
Step 4 :The number of outlets available in the year 2010 was approximately \(\boxed{14962}\).