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The number of bacteria present in a colony is 180 at 12 noon and the bacteria grows at a rate of 22% per hour. How many will be present at 8 p.m. ?

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Verified Answer :

dan815

now 12 noon to 8 pm is 8 hours in total, every hour you've increased your bacteria population by 22%
if you start with population P 
after 1 hour we have P(1+0.22)
after 2 hours we have P(1+0.22)^2
after 8 hours we have P(1+0.22)^8
therefore since we started with population 180 at 12 noon we have
at 8 pm, 180(1+0.22)^2

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