Answer:
6
Step-by-step explanation:
The formula for doubling time is given as:
P(t) = Po(2)^t/k
Where:
P(t) = Population after time t = 28,284
Po = Initial Population = 20,000
t = time = 3 days
k = doubling time = ?
28,284 = 20,000 × (2)^3/k
Divide both sides by 20,000
28,284/20,000 = 20,000/20,000 × (2)^3/k
1.4142 = (2)^3/k
2^1/2 = (2)^3/k
Divide both sides by 2
1/2 = 3/k
Cross Multiply
k × 1 = 2 × 3
k = 6
Therefore, the doubling time(k) of the bacteria is 6
