The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. (a) Find the initial population. (b) Write an exponential growth model for the bacteria population. Let t represent the time in hours. (c) Use the model to determine the number of bacteria after 8 hours. (d) After how many hours will the bacteria count be 25,000?

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Q: Assume the world’s population is growing exponentially and doubles every 53 years. The current…

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Q: Solve the exponential equations. (a) 4e (3z+2) = 2. (b) 7 (3г-+2) - 15 = -3. For each equation,…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: A population numbers 17,000 organisms initially and grows by 14.6% each year. Suppose P represents…

A: Our model function is P = abt, a is the initial number of population which is 17000 and b is (1+r).…

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.