The number of bacteria in a culture is increasing according to the law of exponential growth....

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.

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Expert Solution

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

milcah answered 1 year ago

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