Under a microscope, Ms. Kapinski studies a culture with bacteria. As the number of hours progresses, Ms. Kapinski sees that the bacteria can be modeled by the function ?(?) = 1290(0.76) ? where b represents the number of bacteria t hours after Ms. Kapinski begins her study. (a) What does the value 0.76 represent in this situation? Be sure to explain. (b) What does the value 1290 represent in this situation? Be sure to explain. (c) The number of bacteria in a second study is modeled by the function ?2 (?) = 1180(1.76) ? . i. What does the value of 1180 represent in this situation? ii. What does the difference of 1290 and 1180 mean between the two studies? iii. What does the difference between 0.76 and 1.76 mean between the two studies?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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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Under a microscope, Ms. Kapinski studies a culture with bacteria. As the number of hours progresses, Ms. Kapinski sees that the bacteria can be modeled by the function ?(?) = 1290(0.76) ? where b represents the number of bacteria t hours after Ms. Kapinski begins her study.

(a) What does the value 0.76 represent in this situation? Be sure to explain.

(b) What does the value 1290 represent in this situation? Be sure to explain.

(c) The number of bacteria in a second study is modeled by the function ?2 (?) = 1180(1.76) ? .

i. What does the value of 1180 represent in this situation?

ii. What does the difference of 1290 and 1180 mean between the two studies?

iii. What does the difference between 0.76 and 1.76 mean between the two studies?

3. Under a microscope, Ms. Kapinski studies a culture with bacteria. As the number of hours progresses,
Kapinski sees that the bacteria can be modeled by the function b(t) = 1290(0.76) where b represents the
number of bacteria t hours after Ms. Kapinski begins her study.
Ms.
(a) What does the value 0.76 represent in this situation? Be sure to explain.
(b) What does the value 1290 represent in this situation? Be sure to explain.
(c) The number of bacteria in a second study is modeled by the function b2(t) = 1180(1.76)'.
i.
What does the value of 1180 represent in this situation?
ii.
What does the difference of 1290 and 1180 mean between the two studies?
ii.
What does the difference between 0.76 and 1.76 mean between the two studies?
Transcribed Image Text:3. Under a microscope, Ms. Kapinski studies a culture with bacteria. As the number of hours progresses, Kapinski sees that the bacteria can be modeled by the function b(t) = 1290(0.76) where b represents the number of bacteria t hours after Ms. Kapinski begins her study. Ms. (a) What does the value 0.76 represent in this situation? Be sure to explain. (b) What does the value 1290 represent in this situation? Be sure to explain. (c) The number of bacteria in a second study is modeled by the function b2(t) = 1180(1.76)'. i. What does the value of 1180 represent in this situation? ii. What does the difference of 1290 and 1180 mean between the two studies? ii. What does the difference between 0.76 and 1.76 mean between the two studies?
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