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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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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.
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