5. lodine-131 is a radioactive isotope of iodine that is used in a sodium salt to diagnose thyroid disease. The half-life of lodine-131 is 8 days, which means that it takes 8 days for the sample to decay to half its original amount. Suppose you start with a 480 mg sample of lodine-131. a) How much will remain after 48 days? b) How long will it take for the isotope to decay to 15mg?
5. lodine-131 is a radioactive isotope of iodine that is used in a sodium salt to diagnose thyroid disease. The half-life of lodine-131 is 8 days, which means that it takes 8 days for the sample to decay to half its original amount. Suppose you start with a 480 mg sample of lodine-131. a) How much will remain after 48 days? b) How long will it take for the isotope to decay to 15mg?
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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Transcribed Image Text:5. lodine-131 is a radioactive isotope of iodine that is used in a sodium salt to diagnose thyroid
disease. The half-life of lodine-131 is 8 days, which means that it takes 8 days for the sample to
decay to half its original amount. Suppose you start with a 480 mg sample of lodine-131.
a) How much will remain after 48 days?
b) How long will it take for the isotope to decay to 15mg?
6. The value of a car depreciates 12.5% per year after it is purchased.
a) Write an equation that models the value V(t) of a $28 000 car after t years.
b) What will the value be after 36 months?
c) To the nearest tenth of a year (1 decimal), approximately how long will it take to reach
half of its original value?
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