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3 ✓ Question 4 (5 points) Solve the problem. A culture of bacteria obeys the law...
how to do this question with correct answers (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.
(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 ?
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...
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?
A biologist recorded a count of 340 bacteria present in a culture after 9 minutes and 950 bacteria present after 22 minutes. A. To the nearest whole number, what was the initial population in the culture? B. Round to four decimal places, write an exponential equation representing this situation. C. To the nearest minute, how long did it take the population to double?
This exercise uses the population growth model. The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. (a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.) 104 % (b) What was the initial size of the culture? (Round your answer to the nearest whole number.) 200 x bacteria (c) Find a function that models the number...
A bacteria culture starts with bacteria and grows at a rate proportional to its size. After hours there will be bacteria.(a) Express the population after hours as a function of .population:__________________________ (function of t)(b) What will be the population after hours?(c) How long will it take for the population to reach ?
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 ).
3. (17 points) The growth in a population of bacteria follows a logistic growth model given by the differential equation dP 0.05P - 0.00001p? dt with units of number of bacteria and hours. (a) (3 points) What is the carrying capacity of this population? (b) (9 points) Given an initial population of 1000 bacteria, how long will it take for the population to double? (c) (5 points) What is the rate of change (per hour) in the size of the...