A sample of bacteria taken from a river has an initial concentrationof 2.5million bacteria per milliliter and its concentration triples each week. Find an exponential model that calculates the concentration​ (in millions) after x weeks. Estimate the concentration​ (in millions) after 1.8 weeks b(x)=

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A: topic - exponential function

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Q: best

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Q: See photo attached, thank you.

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Q: The count  in a bacteria culture was 200  after 15 minutes and 1600 40 minutes assuming the count…

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A: Explained below

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A: Solution:-

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Q: A quantity with an initial value of 390 decays exponentially at a rate of 8.5% every 9 weeks. What…

A: We give the change of the quantity as a function of time as y(t)=390 e-0.0859t where t is in weeks.

Q: A population of bacteria grows exponentially and their population doubles If the initial observation…

A: NOTE: Refresh your page if you can't see any equations. . here we have the initial population is…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.