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The growth model for a population of bacteria is given as P(t) = 35e2t where t is measured in days. How many days will it take until the number of bacteria has exceeded 17,500

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Answer:

Step-by-step explanation:

Given that the growth model for a population of bacteria is given as where t

[tex]P(t) = 35e^{2t}[/tex]

is measured in days.

We have to find the number of days it would take to reach a number >17500

i.e. when P exceed 17500

[tex]35e^{2t}>17500\\log 35+2t>log 17500\\2t >6.2146\\t>3.1073[/tex]

After 3.1 days the bacteria would exceed 17500

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