In: Math
The number of bacteria in a culture is increasing according to the law of exponential growth. Initially there are 300 bacteria and after 4 hours there are 900 bacteria. How many bacteria will there be after 6 hours? Round your answer to the nearest whole number.
Given initially there are 300 bacteria
after four hours there are 900 bacteria
we want find how many bacteria after 6 hours
to find this we can use Exponential Growth model
by exponential growth model
t is the time in hours
to find growth factor, given for 4 hours number of bacterias are 900
substituting
so bacteria growth model is given by
we want to find population of bacteria after 6 hours
for that put t =6 in bacteria growth model
rounding to nearest whole number
so number of bacteria after 6 hours is 1559