When a bactericide was added to a nutrient broth in which bacteria were growing, the bacterium pop-ulation continued to grow for a while, but then stopped growing and began to decline. The size of the population at time t (hours) was b = 106 + 104t - 103t2. Find the growth rates at a. t = 0 hours. b. t = 5 hours. c. 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 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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When a bactericide was added to a nutrient broth in which bacteria were growing, the bacterium pop-ulation continued to grow for a while, but then stopped growing and began to decline. The size of the population at time t (hours) was b = 106 + 104t - 103t2. Find the growth rates at

a. t = 0 hours.

b. t = 5 hours.

c. t = 10 hours.

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