Answered: Time Population (grams), P (hours), t…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

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.
Thus P1t2 represents the population at time t.(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?

Time
Population
(grams), P
(hours), t
0.09
2.5
0.18
3.5
0.26
4.5
0.35
6
0.50

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