The number of Drosophila fruit flies in a controlled experiment assumes the following growth pattern when the food source is limited: N(t)=750/1+14e^−0.4t where tt measured in days. A. How many fruit files were there in the beginning? B. What is the limiting number of fruit flies? C. At what time was the population increasing most rapidly?

The number of Drosophila fruit flies in a controlled experiment assumes the following growth pattern when the food source is limited: N(t)=750/1+14e^−0.4t where tt measured in days. A. How many fruit files were there in the beginning? B. What is the limiting number of fruit flies? C. At what time was the population increasing most rapidly?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.7: Exponential And Logarithmic Models

Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....

See similar textbooks

Similar questions

Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?
Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?
Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 1.4% per hour. How many hours does it take for the size of the sample to double?
A sample population of strands of the bacteria is increasing at rate proportional to the population. If initially, there are 2021 strands of bacteria and after 40 minutes, the population grows to 10021, determine the growth rate factor.
A material has an initial of 15 units. Which equation models the amount of the material y, decaying exponentially at a rate of 23% over time x
The radioactive isotope lead has a half-life of 3.3 hours and decays at a rate proportionate tothe amount present at time t. How long will it take for 90 percent of lead to decay if 1 gramof the isotope is present at the start?
During the start of the COVID 19 pandemic it is assumed that the rate of spread of the corona virus is 18 % daily following a simple logistic growth model by Verhulst. Ten persons are assumed to have acquired the virus in province X. Assuming province X with a population of 2 million does not follow any necessary protocol to prevent the spread of the virus, approximately how many are expected to have acquired the virus after 30 days?
A radioactive element decays at a continuous rate of 8%. What is its half-life in years?