(a) Find the average rate of change of the population from 0 to 2.5 hours. (b) Find the average rate of change of the population from 4.5 to 6 hours. (c) What is happening to the average rate of change as time passes?

Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
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81. E. coli Growth A strain of E. coli Beu 397-recA441 is
placed into a nutrient broth at 30° Celsius and allowed
to grow. The data shown in the table are collected. The
population is measured in grams and the time in hours.
Since population P depends on time t, and each input
corresponds to exactly one output, we can say that
population is a function of time, so P(t) represents the
population at time t.
Time
(hours), t
0
2.5
3.5
4.5
6
Population
(grams), P
0.09
0.18
0.26
0.35
0.50
(a) Find the average rate of change of the population
from 0 to 2.5 hours.
(b) Find the average rate of change of the population
from 4.5 to 6 hours.
(c) What is happening to the average rate of change as time
passes?
Transcribed Image Text:81. E. coli Growth A strain of E. coli Beu 397-recA441 is placed into a nutrient broth at 30° Celsius and allowed to grow. The data shown in the table are collected. The population is measured in grams and the time in hours. Since population P depends on time t, and each input corresponds to exactly one output, we can say that population is a function of time, so P(t) represents the population at time t. Time (hours), t 0 2.5 3.5 4.5 6 Population (grams), P 0.09 0.18 0.26 0.35 0.50 (a) Find the average rate of change of the population from 0 to 2.5 hours. (b) Find the average rate of change of the population from 4.5 to 6 hours. (c) What is happening to the average rate of change as time passes?
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