(1 point) A culture of yeast grows at a rate proportional to its size. If the initial population is cells and it doubles after hours, answer the following questions.
1. Write an expression for the number of yeast cells after hours.
Answer:
2. Find the number of yeast cells after hours.
Answer:
3. Find the rate at which the population of yeast cells is increasing at hours.
Answer (in cells per hour):
(1 point) A culture of yeast grows at a rate proportional to its size. If the initial population is 8000 cells and it doubles after 3 hours, answer the following questions. 1. Write an expression for the number of yeast cells after t hours. Answer: P(t)=
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?
A culture of yeast grows at a rate proportional to its size. If the initial population is cells and it doubles after hours, answer the following questions.1. Write an expression for the number of yeast cells after hours.Answer: 2. Find the number of yeast cells after hours.Answer: 3. Find the rate at which the population of yeast cells is increasing at hours.Answer (in cells per hour):
(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...
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))
A certain microbe, growing at a rate proportional to its size, doubles its population every 10 hours. After 13 hours the total population has mass 560 grams. What was the initial mass? (Round your answer to 3 decimal places.) initial mass = grams Submit Answer Tries 0/3
A population of bacteria doubles every 5 hours. If the initial size of the population is 1 (measured in millions). (a) Find the formula for the population P (t) after t hours. (b) What is the population after 15 hours? (c) When will the population reach 10 (measured in millions)?
&7 4. A population P grows at a constant rate of a organisms per unit time, and the death rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answe terms Po, a, k and a constant C.) wer must contain the...
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 ).
In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000 + 8000+?. dP a) Find the growth rate dt b) Find the population after 10 yr. c) Find the growth rate at t= 10. d) Explain the meaning of the answer to part (c).