1. The population of a bacteria in a culture is known to grow at a rate...
6. A bacteria culture grows at a rate proportional to its size. The initial population of the bacteria culture is 300 cells, and after 3 hours the population increases to 2400. (a) Find an expression for the number of bacteria after t hours. (b) When will the population reach 20000?
(1 point) A bacteria culture starts with 240240 bacteria and grows at a rate proportional to its size. After 55 hours there will be 12001200 bacteria.(a) Express the population after tt hours as a function of tt.population: (function of t)(b) What will be the population after 99 hours?(c) How long will it take for the population to reach 22702270 ?
3. The population of bacteria in a culture decreases at a rate proportional to the number of bacteria present at any time t. The initial population is 500 and the population decreases 10% in 1 hour. Determine the half-life of the population of bacteria. How long does it take for the population to be 10? (8 marks ).
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(3 points) A bacteria culture initially contains 200 cells and grows at a rate proportional to its size. After an hour the population has increased to 500 Find an expression for the number Pt) of bacteria after t hours. P(t) = 200e"(In(5/2jt) Find the number of bacteria after 2 hours. Answer: 1250 Find the rate of growth after 2 hours. Answer: In(5/2) When will the population reach 20000? Answer (In(100)/(In(5/2))
Previous Problem List Next (1 point) A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours there will be 800 bacteria. (a) Express the population after I hours as a function of t. population: (function of t) (b) What will be the population after 9 hours? (c) How long will it take for the population to reach 1590 ? Note: You can earn partial credit on this problem.
A bacteria culture population of 50 bacteria doubles in size every 20 minutes. (8 marks)a. Establish the function rule that models this situation and graph it.b. How long will it take for the bacterial culture grow to a population of 250 000?https://i.gyazo.com/2983af215c10aa16297e9001aa2d5210.png
A population of insects in a certain region will grow at a rate that is proportional to their current population with proportionality constant k. In the absence of any outside factors the population will triple in two weeks in time. On any given day there is a net migration into the area of 15 insects and 16 are eaten by the local bird population and 7 die of natural causes. If there are initially 100 insects in the area, will...
15. -/1 POINTS LARAPCALC10 2.5.070.0/100 Submissions Used The number N of bacteria in a culture after t days is modeled by N=600[1-media] Find the rate of change, in bacteria per day, of N with respect to t when the following values are true. (Round your answers to the nearest tenth.) (a) t = 0 O bacteria per day (6) t=1 bacteria per day (c) t = 2 bacteria per day (d) t = 3 bacteria per day (e) [= 4...
2. The growth rate of a population of bacteria is directly proportional to the population p() (measured in millions) at time t (measured in hours). (a) Model this situation using a differential equation. (b) Find the general solution to the differential equation (c) If the number of bacteria in the culture grew from p(0) = 200 to p(24) = 800 in 24 hours, what was the population after the first 12 hours?
A bacteria culture starts with 260 bacteria and grows at an exponential rate. After 3 hours there will be 780 bacteria. Give your answer accurate to at least 4 decimal places. (a) Express the population after thours as a function of t. P(t)- Preview (b) What will be the population after 7 hours? Preview bacteria ( How long will it take for the population to reach 28707 Preview hours Determine an algebraic expression for the function graphed below. Write your...