.
.
.
So the answers are,
(a) n(t) = 8100e0.211t
(b) 12353 bacteria
(c) 3.3 hr
This exercise uses the population growth model. A culture starts with 8100 bacteria. After 1 hour...
This exercise uses the population growth model. A culture starts with 8700 bacteria. After 1 hour the count is 10,000. (a) Find a function that models the number of bacteria n(t) after thours. (b) Find the number of bacteria after 2 hours. (c) After how many hours will the number of bacteria 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...
This exercise uses the population growth model. The fox population in a certain region has a relative growth rate of 5% per year. It is estimated that the population in 2013 was 16,000. (a) Find a function n(t) = n0ert that models the population t years after 2013. n(t) = (b) Use the function from part (a) to estimate the fox population in the year 2020. (Round your answer to the nearest whole number.) (c) After how many years will...
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...
Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600 bacteria selected from this population reached the size of 2873 bacteria in two and a half hours. Find the continuous growth rate per hour. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
Modeling Exponential Growth and Decay A research student is working with a culture of bacteria that doubles in size every 26 minutes. The initial population count was 1425 bacteria. a. Rounding to four decimal places, write an exponential equation representing this situation. B(t) = (Let t be time measured in minutes.) b. Rounding to the nearest whole number, use B(t) to determine the population size after 5 hours. The population is about bacteria after 5 hours. (Recall that t is...
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...
(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 ?
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This exercise uses the population growth model. The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. (a) Estimate how long it takes the population to double. (Round your answer to two decimal places.) yr (b) Estimate how long it takes the population to triple. (Round your answer to two decimal places.) yr