When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium population continues to grow for a while, but then stops growing and begins to decline. The size of the population at me t (hours) is b = 106 + 104-10312. Find the growth rates at t=0 hours, t=5 hours, and t= 10 hours.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this...
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When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium population
continues to grow for a while, but then stops growing and begins to decline. The size of the population at
time t (hours) is b = 106 + 104t - 10³12. Find the growth rates at t=0 hours, t=5 hours, and t= 10 hours.
Transcribed Image Text:When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium population continues to grow for a while, but then stops growing and begins to decline. The size of the population at time t (hours) is b = 106 + 104t - 10³12. Find the growth rates at t=0 hours, t=5 hours, and t= 10 hours.
The growth rate at t=0 hours is
The growth rate at t=5 hours is
The growth rate at t= 10 hours is
bacteria per hour.
bacteria per hour.
bacteria per hour
Transcribed Image Text:The growth rate at t=0 hours is The growth rate at t=5 hours is The growth rate at t= 10 hours is bacteria per hour. bacteria per hour. bacteria per hour
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