The population of bacteria in one cubic centimeter of the blood of a sick person has been modeled by the function P(t)=95t(0.89t) where t is the time, in days, since the person became ill. Use your calculator to graph the function.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 11SE: To the nearest whole number, what is the initial value of a population modeled by the logistic...
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The population of bacteria in one cubic centimeter of the blood of a sick person has been modeled by the function P(t)=95t(0.89t) where t is the time, in days, since the person became ill.

Use your calculator to graph the function.

1. To the nearest day, when is the bacteria population at a maximum? Day:
2. What is the maximum population? Round your answer to one decimal place. Population:
3. Estimate how fast the population is changing 9 days after the onset of the illness. Round your answer to two decimal places. Rate of
Change:
Transcribed Image Text:1. To the nearest day, when is the bacteria population at a maximum? Day: 2. What is the maximum population? Round your answer to one decimal place. Population: 3. Estimate how fast the population is changing 9 days after the onset of the illness. Round your answer to two decimal places. Rate of Change:
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