SOLUTION: At the beginning of an experiment, a scientist has 244 grams of radioactive goo. After 240 minutes, her sample has decayed to 3.8125 grams. what is the half life of goo in minutes?

Question 747347: At the beginning of an experiment, a scientist has 244 grams of radioactive goo. After 240 minutes, her sample has decayed to 3.8125 grams. what is the half life of goo in minutes? Find a formula for G(t), the amount of goo remaining at time t. How many grams of goo will remain after 47 minutes.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At the beginning of an experiment, a scientist has 244 grams of radioactive goo. After 240 minutes, her sample has decayed to 3.8125 grams. what is the half life of goo in minutes?
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A(t) = Ao*(1/2)^(t)
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3.8125 = 244*(1/2)^(240/k)
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0.0157 = (1/2)^(240/k)
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(240/k) = log(0.0157)/log(0.5) = 5.9953
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k = 240/5.9953
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k = 6 minutes
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Find a formula for G(t), the amount of goo remaining at time t. How many grams of goo will remain after 47 minutes.
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A(47) = 244*(1/2)^(47/6)
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A(47) = 244*(1/2)^7.833
A(47) = 1.0698 grams
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Cheers,
Stan H.
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