The growth of a population of bacteria in a beaker can be modeled by the exponential model: y = Poeht, where Po is the initial population density, t is the number of hours after the initial measure, and y is the population density at time t. (h is known as the relative (or exponential) growth rate of the population and can be influenced by the nutrients in the beaker. If you know how to make h large, you have the start of a good biotechnology venture.) If the initial density is Po = 0.1 cells per cubic millimeter, and 48 hours later the population density is 100 cells per cubic millimeter, what is the value of h ? Round h to 4 digits after the decimal point. Do not provide units.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 13CC: Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is...
icon
Related questions
Topic Video
Question
100%

This is question 9 from my homework, please help me!

The growth of a population of bacteria in a beaker can be
modeled by the exponential model:
y = Poeht,
where Po is the initial population density, t is the number of
hours after the initial measure, and y is the population density
at time t.
(h is known as the relative (or exponential) growth rate of the
population and can be influenced by the nutrients in the
beaker. If you know how to make h large, you have the start of
a good biotechnology venture.)
If the initial density is Po
= 0.1 cells per cubic millimeter, and
48 hours later the population density is 100 cells per cubic
millimeter, what is the value of h ?
Round h to 4 digits after the decimal point. Do not provide
units.
Transcribed Image Text:The growth of a population of bacteria in a beaker can be modeled by the exponential model: y = Poeht, where Po is the initial population density, t is the number of hours after the initial measure, and y is the population density at time t. (h is known as the relative (or exponential) growth rate of the population and can be influenced by the nutrients in the beaker. If you know how to make h large, you have the start of a good biotechnology venture.) If the initial density is Po = 0.1 cells per cubic millimeter, and 48 hours later the population density is 100 cells per cubic millimeter, what is the value of h ? Round h to 4 digits after the decimal point. Do not provide units.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax