Answer: P(t) = 600*(1.041)^t.
Step-by-step explanation:
An exponential growth can be written as:
P(t) = A*(1 + r)^t
Where:
A = initial population = 600
r = rate of growth in decimals = 4.1%/100% = 0.041.
t = number of units of time.
Now we have a problem, we know that the growth rate is 4.1 %, but we do not know in which time units are we working.
Because is not the same if the bacteria grows a 4.1% in one day, than if the bacteria grows a 4.1% in a hour.
But that does not matter for the actual equation, because we can just define "t" as the time (like the question asks) and the equation will be:
P(t) = 600*(1 + 0.041)^t
P(t) = 600*(1.041)^t.
