3) A researcher has collected population data along with time. Afler comparing the populations from consecutive times, he finds out the population is increasing and also that in the early slages, the rate of change of the population (derivalive with respeet to time) is proportional to the population itsclf. aj Find an equation describing this situation. What can you say regarding the coefficient of proportionality (positive or negative)? Explain. bi The rescarcher decides to make a corrcction to this cquation by subtracting a constant (the rate of change of the population with respect to time becomes proportional to the population itsclf minus a constant). Give an expression for the general solution of this HOuntion

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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3) A researcher has collected population data along with time. Afler comparing the
populations from consecutive times, he finds out the population is increasıng and also
that in the early slages, the rate of change of the population (derivative with respect to
time) is proportional to the population itself
aj Find an equation describing this situation. What can you say regarding the coefficient of
proportionality (positive or negative)? Explain.
b) The rescarcher decides to make a corroction to this cquation by subtracting a constant
(the rate of change of the population with respect to time becomes proportional to the
population itself minus a constant). Give an expression for the general solution of this
equalion.
Transcribed Image Text:3) A researcher has collected population data along with time. Afler comparing the populations from consecutive times, he finds out the population is increasıng and also that in the early slages, the rate of change of the population (derivative with respect to time) is proportional to the population itself aj Find an equation describing this situation. What can you say regarding the coefficient of proportionality (positive or negative)? Explain. b) The rescarcher decides to make a corroction to this cquation by subtracting a constant (the rate of change of the population with respect to time becomes proportional to the population itself minus a constant). Give an expression for the general solution of this equalion.
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