Question

# If a bacteria population starts with 125 bacteria and doubles in size every half hour, then...

If a bacteria population starts with 125 bacteria and doubles in size every half hour, then the number of bacteria after t hours is

n = f(t) = 125 · 4t.

(a) Find the inverse of this function.
t =  log4​(t125​)

Explain its meaning.

a The inverse function gives the population after half an hour has passed.

b The inverse function gives the population after 4 hours have passed.

c The inverse function gives the number of hours that have passed when the population size is halved.

d The inverse function gives the number of hours that have passed when the population size reaches n.

e The inverse function gives the number of hours that have passed when the population size doubles.

(b) When will the population reach 110,000? (Round your answer to two decimal places.)
t =  hr

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