11. The population of a culture of bacteria at time t (in hours) is given by...
2. At time t = 0 a bacteria culture has No bacteria. One Hour later the population has grown by 25%. If the population P at time t obeys the different ial equation kP,? How long will it take the population to double?
The number of bacteria in a culture is given by the function n(t) 900e.5t where t is measured in hours. (a) What is the relative rate of growth of this bacterium population? (b) What is the initial population of the culture? (c) How many bacteria will the culture contain at time t-5 hours? License Points possible: 1 Unlimited attempts
The number of bacteria in a culture is given by the function n(t) = 960e. where t is measured in hours. (a) What is the exponential rate of growth of this bacterium population? Your answer is (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t-4? Your answer is
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?
(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 ?
6. The size b of a bacteria population at time t (measured in hours) is given by b(t) = 106 + 10't - 10342. Calculate the relative growth rate when t = 5. Answer for Question 6.
The population P(t) of a culture of the bacterium Pseudomonas aeruginosa is given by P(t) = -168972 +80,000 + 10,000, where t is the time in hours since the culture was started. Part 1 out of 2 a. Determine the time at which the population is at a maximum. Round to the nearest hour. 1 The population is at a maximum approximately 23 hours after the culture was started.
The number of bacteria in a dish culture after t hours is given by B = 100 e0.693x 0.693 x a) What was the initial number of bacteria present? b) When will the bacteria present be 205,000?
A culture of bacteria in a petri dish is doubling every hour. If there are 100 bacteria at time t=0, how many bacteria will there be in 12 hours?
Model Exponential Growth and Decay (4.7.38-39) A biologist recorded a count of 300 bacteria present in a culture after 5 minutes and 1050 bacteria present after 28 minutes. a. To the nearest whole number, what was the initial population in the culture? The initial population was around 219 bacteria b. Rounding to four decimal places, write an exponential equation representing this situation. B(t) 10e 30t c. To the nearest minute, how long did it take the population to double? The...