An accident at a nuclear power plant has left the surrounding area polluted with radioactive material that decays naturally. The initial amount of radioactive material present is 15 su (safe units), and 5 months later it is still 10 su. dA dk A(t) and A(t) = A,ekt = dt a) Find the complete model that represents the amount, A(t), of radioactive material (in su) remaining after t months. Round k to 6 decimal places. b) What amount of radioactive material will remain after a year? Round your answer to the tenths place and use correct units. c) At what rate is the radioactive material decreasing after a year? Round your answer to the hundredths place and use correct units. d) The area is considered safe for humans when A = = 1 su. How many months will it take until the area is safe for people to return? Round your answer to the tenths place and use correct units.
An accident at a nuclear power plant has left the surrounding area polluted with radioactive material that decays naturally. The initial amount of radioactive material present is 15 su (safe units), and 5 months later it is still 10 su. dA dk A(t) and A(t) = A,ekt = dt a) Find the complete model that represents the amount, A(t), of radioactive material (in su) remaining after t months. Round k to 6 decimal places. b) What amount of radioactive material will remain after a year? Round your answer to the tenths place and use correct units. c) At what rate is the radioactive material decreasing after a year? Round your answer to the hundredths place and use correct units. d) The area is considered safe for humans when A = = 1 su. How many months will it take until the area is safe for people to return? Round your answer to the tenths place and use correct units.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Question
Transcribed Image Text:An accident at a nuclear power plant has left the surrounding area
polluted with radioactive material that decays naturally. The initial
amount of radioactive material present is 15 su (safe units), and 5
months later it is still 10 su.
dAk A(t) and A(t)= A, ekt
=
dt
a) Find the complete model that represents the amount, A(t), of
radioactive material (in su) remaining after t months.
Round k to 6 decimal places.
b) What amount of radioactive material will remain after a year?
Round your answer to the tenths place and use correct units.
c) At what rate is the radioactive material decreasing after a year?
Round your answer to the hundredths place and use correct units.
d) The area is considered safe for humans when A= 1 su. How
many months will it take until the area is safe for people to
return?
Round your answer to the tenths place and use correct units.
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