Two strains of bacteria are growing in separate Petri dishes. Initially, there are 300 Strain A bacteria and, from a prior experiment, you know that the population should double every 20 minutes.Having never worked with Strain B before, you monitor its growth over the first hour and notice that there are 200 bacteria after 30 minutes and 600 bacteria after 1 hour.Let t be the number of hours that have passed since the two populations of bacteria start growing. Express the number of strain A bacteria as a function of tt. Note: Your answer should be of the form PA(t)=Ce^(bt) PA(t)=Ce^(bt( for some numbers C and b.From your observations, you know that the population of Strain B bacteria after tt hours can be modelled byPB(t)=(200/3)3^(2t) PB(t)=(200/3)3^(2t)How many strain B bacteria were present initially? (Round your answer down to the nearest integer).After how many hours will the two populations be equal in number? Give an exact answer (no decimals).

Answered: Image /qna-images/answer/5256a0f8-780c-4dea-8ad2-355705005cc2.jpg

Answered: Two strains of bacteria are growing in…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Question

Two strains of bacteria are growing in separate Petri dishes. Initially, there are 300 Strain A bacteria and, from a prior experiment, you know that the population should double every 20 minutes.

Having never worked with Strain B before, you monitor its growth over the first hour and notice that there are 200 bacteria after 30 minutes and 600 bacteria after 1 hour.

Let t be the number of hours that have passed since the two populations of bacteria start growing. Express the number of strain A bacteria as a function of tt. Note: Your answer should be of the form PA(t)=Ce^(bt) PA(t)=Ce^(bt( for some numbers C and b.
From your observations, you know that the population of Strain B bacteria after tt hours can be modelled by
PB(t)=(200/3)3^(2t) PB(t)=(200/3)3^(2t)
How many strain B bacteria were present initially? (Round your answer down to the nearest integer).
After how many hours will the two populations be equal in number? Give an exact answer (no decimals).

Expert Solution