A radioactive substance decays from 50 mg to 14 mg in 28 years according to the exponential decay model y = ae-bz, where a is the initial amount and y is the amount remaining after r years. Find the b -value. Round to the nearest hundredth, if needed. Use the EXACT b-value to write the exponential decay model for this substance with initial amount 50 mg. Use that model to find the half-life. Round to the nearest hundredth of a year, if needed. half-life 2 years

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
Question
A radioactive substance decays from 50 mg to 14 mg in 28 years according to the exponential decay model y = ae-bz, where a is the initial amount and y is the amount
remaining after x years.
Find the b -value.
Round to the nearest hundredth, if needed.
Use the EXACT b-value to write the exponential decay model for this substance with initial amount 50 mg.
Use that model to find the half-life.
Round to the nearest hundredth of a year, if needed.
half-life
years
Transcribed Image Text:A radioactive substance decays from 50 mg to 14 mg in 28 years according to the exponential decay model y = ae-bz, where a is the initial amount and y is the amount remaining after x years. Find the b -value. Round to the nearest hundredth, if needed. Use the EXACT b-value to write the exponential decay model for this substance with initial amount 50 mg. Use that model to find the half-life. Round to the nearest hundredth of a year, if needed. half-life years
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