a. The general form of equation of an uninhibited growth
model is:
A = a e^kt
where A is final amount, a is initial amount, k is
constant and t is time
From Monday to Wednesday, two days have passed so t = 2,
therefore calculating for constant k:
54 = 18 e^k(2)
e^2k = 3
2k = ln 3
k = 0.55
So the function becomes:
A(t) = a e^0.55t
b. Finding for t when A = 2a
2a = a e^0.55 t
0.55 t = ln 2
t = 1.26 days
