A bacteria colony is given to your biology lab group by the TA. She tells you that the population of the colony is 90 bacteria when she hands the sample to your group at 9 a.m. In 20 ​minutes, your group determines that the bacteria population has tripled to 270 bacteria. Assume that the population continues to triple every 20 minutes.   ---- a) Find a function P(t) that gives the number of bacteria present in the colony t hours after 9 a.m. ​ (So P(0) will give the population of the colony at 9​ a.m., P(1) will give the population of the colony at 10​ a.m., etc.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
icon
Related questions
Question

A bacteria colony is given to your biology lab group by the TA. She tells you that the population of the colony is 90 bacteria when she hands the sample to your group at 9 a.m. In 20 ​minutes, your group determines that the bacteria population has tripled to 270 bacteria. Assume that the population continues to triple every 20 minutes.   ---- a) Find a function P(t) that gives the number of bacteria present in the colony t hours after 9 a.m. ​ (So P(0) will give the population of the colony at 9​ a.m., P(1) will give the population of the colony at 10​ a.m., etc.)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning