The function P=48∙e^((.045t)) gives the number of bacteria in a population as a function of time in hours.

a) How many bacteria are there in t = 8 hours? *Accurate to four decimal.

b) How fast is this population growing in t = 8 hours? *Accurate to four decimals.

Respuesta :

The number of bacteria when t = 8 is approximately 66 bacterias

Exponential functions

Given the function that gives the number of bacteria in a population as a function of time in hour expressed as:

P=48∙e^((0.045t))

If the value of t is 8, hence;

P=48∙e^((0.045(8))

P = 48e^0.36

P = 65.933

Hence the number of bacteria when t = 8 is approximately 66 bacterias

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