Substance A decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the amount A left of an initial amount A。 after time t. b) It is found that 18 lb of A will reduce to 9 lb in 3.5 hr. After how long will there be only 1 lb left? a) Choose the equation that gives A in terms of Ao, t, and k, where k>0. A. A(t)=Aekt B. A(t)= Age c. A(t) = A D. A(t) = Ao kt - kt - kt b) There will be 1 lb left after hr. (Do not round until the final answer. Then round to the nearest whole number as needed.)
Substance A decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the amount A left of an initial amount A。 after time t. b) It is found that 18 lb of A will reduce to 9 lb in 3.5 hr. After how long will there be only 1 lb left? a) Choose the equation that gives A in terms of Ao, t, and k, where k>0. A. A(t)=Aekt B. A(t)= Age c. A(t) = A D. A(t) = Ao kt - kt - kt b) There will be 1 lb left after hr. (Do not round until the final answer. Then round to the nearest whole number as needed.)
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 content area top
Part 1
Substance A decomposes at a rate proportional to the amount of A present.
a) Write an equation that gives the amount A left of an initial amount
Upper A 0A0
after time t.b) It is found that
1818
lb of A will reduce to
99
lb in
3.53.5
hr. After how long will there be only 1 lb left?Question content area bottom
Part 1
a) Choose the equation that gives A in terms of
Upper A 0A0,
t, and k, where
kgreater than>0.
A(t)equals=Upper A 0 e Superscript ktA0ekt
A(t)equals=Upper A 0 e Superscript negative ktA0e−kt
A(t)equals=Upper A 0 Superscript ktA0kt
A(t)equals=Upper A 0 Superscript negative ktA0−kt
Part 2
b) There will be 1 lb left after
enter your response here
hr.(Do not round until the final answer. Then round to the nearest whole number as needed.)
Transcribed Image Text:Substance A decomposes at a rate proportional to the amount of A present.
a) Write an equation that gives the amount A left of an initial amount A。 after time t.
b) It is found that 18 lb of A will reduce to 9 lb in 3.5 hr. After how long will there be only 1 lb left?
a) Choose the equation that gives A in terms of Ao, t, and k, where k>0.
A. A(t)=Aekt
B. A(t)= Age
c. A(t) = A
D. A(t) = Ao
kt
- kt
- kt
b) There will be 1 lb left after hr.
(Do not round until the final answer. Then round to the nearest whole number as needed.)
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