Final answer:
To find the number of outlets available in t_0, t_1, and t_2, we can use the equation a(t) = ae^kt and substitute the corresponding values of t.
Step-by-step explanation:
The number of outlets available in t_0 can be found by plugging in t = t_0 into the equation a(t) = ae^kt. Since the total number of outlets available has increased exponentially, we can assume that the value of a(t) = a_0 is the initial number of outlets at t = t_0. Therefore, a_0 = a(t_0).
To find the number of outlets available in t_1, we plug in t = t_1 into the equation a(t) = ae^kt. Similarly, to find the number of outlets available in t_2, we plug in t = t_2 into the equation a(t) = ae^kt.