The function ( A(t)=15 e^{-0.027 t} ) models the amount of radioactive substance in grams after a certain amount of time in years. a) In your own words, describe the meaning of the following in the context of this problem. i) ( A(t) ) ii) 15 iii) -0.027 b) Does this function model growth or decay? c) How much of the substance is there after 5 years? (round to 2 decimal places) d) How long will it take for the to be amount to equal 8 grams? (round to 2 decimal places)
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ii) 15 is the initial amount of radioactive substance in grams (when t=0). iii) -0.027 is the decay rate of the radioactive substance. Since it's negative, it indicates that the substance is decaying over time. b) This function models decay, as the decay Show more…
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