The size of a radioactive sample in grams after t weeks is given by A = 25(0.91)* . (a) How large was the sample originally? grams (b) By what percent is the sample decreasing each week? (C) How long will it take for only 1 gram to remain? Round to the nearest week. weeks

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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The size of a radioactive sample in grams after t weeks is given by A = 25(0.91)* .
(a) How large was the sample originally?
grams
(b) By what percent is the sample decreasing each week?
%
(C) How long will it take for only 1 gram to remain? Round to the nearest week.
weeks
Check Answer
Transcribed Image Text:The size of a radioactive sample in grams after t weeks is given by A = 25(0.91)* . (a) How large was the sample originally? grams (b) By what percent is the sample decreasing each week? % (C) How long will it take for only 1 gram to remain? Round to the nearest week. weeks Check Answer
Expert Solution
Step 1: Given

A=25(0.91)t

Step 2: Initial amount

TO find the initial amount, one have to plug 0 for t. That is

A=25(0.91)0A=25(1)A=25gms

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