Answer: Pupulation = A*0.95^t
where t is the numer of hours that has passed, and A is the initial population of the bacteria.
Step-by-step explanation:
If the initial population of bacteria is A.
After one hour we can see that the population has decreaesed by 5%, so the new population is
P = A - 0.5*A = 0.95*A
After other our, the population decreased by 5% again, the new population is:
P = (0.95*A) - 0.5*(0.95*A) = 0.95*0.95*A = A*0.95^2
And so on.
This is an exponential decay, so we can write this relation as:
Pupulation = A*0.95^t
where t is the numer of hours that has passed, and A is the initial population of the bacteria.
