Answer:
6866, 71995
Step-by-step explanation:
I'm going to assume it has a growth rate of 160% per hour.
Anyways, since after four hours, there were 45,000 Bacteria X in the egg salad, we can write the following function:
[tex]B(h)=P(1.6)^h[/tex], where P represents the initial amount, B(h) represents the total, and h represents the number of hours that has passed. The 1.6 represents the 160% growth rate per hour.
We already know that four hours has passed when the population is 45,000, thus:
[tex]45000=P(1.6)^4[/tex]
[tex]P=45000/(1.6)^4[/tex]
[tex]P\approx6866.46\approx6866[/tex]
So the initial population is around 6866.
After five hours, the number of bacteria will be:
[tex]B(5)=6866(1.6)^5\approx71995[/tex]
