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Continuous exponential growth model

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A population of bacteria follows the continuous exponential growth model P(t)=P0ekt,where t is in days. The relative (daily) growth rate is 3.6%. The current population is 517.

A) Find the growth model. (the function that represents the population after t days).

P(t) = ___

B) Find the population exactly 1 weeks from now.Round to the nearest bacterium.

The population in 1 weeks will be ___.

C) Find the rate of change in the population exactly 1 weeks from now.

Round to the nearest unit.

The population will be increasing by about ____ bacteria per day exactly 1 weeks from now.

D) When will the popualtion reach 5551?  ROUND TO 2 DECIMAL PLACES.

The population will reach 5551 about _____ days from now.

Reference no: EM131397167

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