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

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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Question

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

$A = 25 {(0.91)}^{0} A = 25 (1) A = 25 g m s$

Step by step

Solved in 4 steps

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