Answer:8000000 bacteria
Explanation:
We would apply the formula,
y = ab^t
Where
A represents the initial amount of bacteria.
t represents the doubling time.
From the information given
A = 1000000
t = 270 hours
Since after 270 hours, the population doubles, then
y = 2 × 1000000 = 2000000
Therefore
2000000 = 1000000 × b^270
2 = b^270
Raising both sides of the equation by 1/270, it becomes
2^(1/270) = b
The equation becomes
y = 1000000 × 2^(1/270) ×t
y = 1000000 × 2^(t/270)
Therefore, the population in 810 hours hours time would be
y = 1000000 × 2^(810/270)
y = 1000000 × 2^3
y = 8000000 bacteria