Since the
growth is exponential, therefore I believe the correct form of the equation is:
P = 100
(2)^(t / 6)
Where t / 6
is the exponent of 2
So to find
for the amount of time needed to exceed the population of 50,000, all we have
to do is to plug in that value in the equation and find for t. Therefore:
P = 100
(2)^(t / 6)
50000 = 100
(2)^(t / 6)
500 = 2^(t /
6)
log 500 = (t
/ 6) log 2
t / 6 = log 500
/ log 2
t = 6 * 8.96578
t = 53.8 mins
= 54 mins
Answer:
D. 54 min
