Radium (Ra-225) has a half-life of 15 days. For a 100 g sample, the amount of radioactive material remaining, A, after time t, is given by the equation A(t) = 100(0.5), where A is measured in grams and t is measured in days. a. Find the average rate of change from 3 days to 4 days, rounded to one decimal place. b. Approximate the average rate of change at t = 3 days, rounded to one decimal place.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Radium (Ra-225) has a half-life of 15 days. For a 100 g sample, the amount of radioactive
material remaining, A, after time t, is given by the equation A(t) = 100(0.5) is, where A is
measured in grams and t is measured in days.
a. Find the average rate of change from 3 days to 4 days, rounded to one decimal place.
b. Approximate the average rate of change at t = 3 days, rounded to one decimal place.
Transcribed Image Text:Radium (Ra-225) has a half-life of 15 days. For a 100 g sample, the amount of radioactive material remaining, A, after time t, is given by the equation A(t) = 100(0.5) is, where A is measured in grams and t is measured in days. a. Find the average rate of change from 3 days to 4 days, rounded to one decimal place. b. Approximate the average rate of change at t = 3 days, rounded to one decimal place.
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