suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per hour. what is a function that represents the population P as a function of time t (in hours). what will the population be after 4 hours and after 8 hours.

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Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

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Q: Suppose that 50,000 bacteria are in a dish and that the population grows continuously by 4% each…

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A: Given,          The population of bacteria cells in a dish decays exponentially at a rate of 5% per…

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A: Let the exponential function be It passes through (0, 3), therefore, we have

Q: In the 2000 U.S.​ Census, a small city had a population of 45,000. By​ 2010, the population had…

A: Given,           In the 2000 U.S.​ Census, a small city had a population of 45,000. By​ 2010, the…

Q: If the starting point is 900, and the decay rate is 3%, choose the exponential function.

A: Starting point refers to the initial value. Decay rate is 3% = 0.03

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A: Subtract rate from 1 for decay factor

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Q: Another quantity has initial value of 400 and decays at a rate of 5.2% per hour. Give an exponential…

A: Let the function be fx=400ax     ....(1) After 1 hour  fx=400-400×5.2100      =400-20.8=379.2

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A: NOTE: Refresh your page if you can't see any equations. . the given growth rate is  r=6.2%=0.062

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Q: A population with a growth rate equal to zero is

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Q: If a function decreases by 7% each year, then the yearly decay factor is what?

A: If a function decreases by 7% each year, then the yearly decay factor is what

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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.