math
posted by Jemima .
On the basis of data collected during an experiment, a biologist found that the growth of a fruit fly (Drisophila) with a limited food supply could be approximated by the exponential model below where t denotes the number of days since the beginning of the experiment.
n(t)=400/1+39e^.2t
(a) What was the initial fruit fly population in the experiment?
flies
(b) What was the maximum fruit fly population that could be expected under this laboratory condition?
flies
(c) What was the population of the fruit fly colony on the 14th day?
flies
(d) How fast was the population changing on the 14th day?
Respond to this Question
Similar Questions

Algebra
This question deals with Exponential Growth and Decay Test. Question:Consider the following:Start by tossing 30 dice. Then remove the dice that show 5s and 6s and toss the remaining dice. Repeat this process until you only have 2 dice … 
algebra
Researchers use formula f(t) = Pe^rt to model the population of fruit flies growing exponentially after t days. Measurements show that f(0) = 30 and f(5) = 1620 a) Find a function of the form f(t) = Pe^rt that models the fruit fly … 
Calculus
On the basis of data collected during an experiment, a biologist found that the growth of a fruit fly (Drisophila) with a limited food supply could be approximated by the exponential model below where t denotes the number of days since … 
statistic
cientists are studying the population of a particular type of fish. The table below shows the data gathered over a fivemonth time period. Use the data to answer questions 59. number of months number of fish 0 8 1 39 2 195 3 960 4 … 
statistic
cientists are studying the population of a particular type of fish. The table below shows the data gathered over a fivemonth time period. Use the data to answer questions 59. number of months number of fish 0 8 1 39 2 195 3 960 4 … 
statistic
Scientists are studying the population of a particular type of fish. The table below shows the data gathered over a fivemonth time period. Use the data to answer questions 59. number of months number of fish 0 8 1 39 2 195 3 960 … 
algebra
In 1990, the population of Africa was 643 million and by 2000 it had grown to 813 million. a.) Use the exponential growth model A=A0 e^kt, in which t is the number of years after 1990, to find the exponential growth function that models … 
calculus
The number of Drosophila fruit flies in a controlled experiment assumes the following growth pattern when the food source is limited: N(t) = 120 1+11e−0.4t where t measured in days. A. How many fruit files were there in the beginning? 
calculus
The number of Drosophila fruit flies in a controlled experiment assumes the following growth pattern when the food source is limited: N(t) = 120/(1+11e^(−0.4t)) D. At what rate is the number of fruit flies increasing after 4 … 
Algebra
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.7% per hour. How many hours does it take for the size of the sample to double?