Question

In: Math

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.

Solutions

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


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