A colony of bacteria grows according to the law of uninhibited growth. If 100 grams of bacteria are present initially and 250 grams are present after two hours, how many will be present after 4 hours?
There will be a population of
The law of uninhibited growth follows the rule
#P#is the population at time #t# #P_0#is the initial population #k#is the rate of exponential growing #t#measures time, in your case hours.
Now we can find
Divide both sides by a hundred:
Consider the natual logarithm of both sides:
To find the answer, simply plug