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jonny [76]
3 years ago
15

A radioactive substance decays at an annual rate of 131313 percent. If the initial amount of the substance is 325325325 grams, w

hich of the following functions fff models the remaining amount of the substance, in grams, ttt years later?
Physics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer: f_{(t)}=325(0.87)^{t}

Explanation:

If we have an initial amount of a radioactive material or substance, which is 325g,  and we also are told this amount decays 13\% each year, this means each year 87\% of the substance remains:

100\%-13\%=87\%=0.87

<u />

<u>To understand it better:</u>

Year 1: 325(87\%)=325(0.87)

Year 2: 325(0.87)(0.87)=325(0.87)^{2}

Year 3: 325(0.87)(0.87)(0.87)=325(0.87)^{3}

and so on until year t:

Year t: 325(0.87)^{t}

Therefore, the function tha best describes this radiation decay situation is:

f_{(t)}=325(0.87)^{t}

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