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Answer :
The population is modeled by the exponential equation:
P(x) = 94,000*(2)^(x/10)
And the population after 13 hours is 231,455 bacteria.
What is the population after 13 hours?
The population can be modeled with an exponential equation of the form:
P(x) = A*(b)^x
Where A is the initial population, b defines the rate of growth/decay, and x represents the time.
Here the initial population is 94,000 bacteria, and it doubles every 10 hours, then we can write the exponential equation as:
P(x) = 94,000*(2)^(x/10)
Notice that there is a 1/10 factor in the exponent because the doubling thing happens every 10 hours, then the population after 13 hours is:
P(13) =94,000*(2)^(13/10) = 231,455 bacteria.
Learn more about exponential equations at:
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