A sample of a certain isotope takes \(29\) years to decay to half its…

Question

Prompt

A sample of a certain isotope takes

29

years to decay to half its original mass. The function

s (t) = 184 (0.5)^{\frac{t}{29}}

gives the approximate mass of this isotope, in grams, that remains

t

years after a

184

-gram sample starts to decay. Which statement is the best interpretation of

s (58) = 46

in this context?

Approximately

46

grams of the sample remains

58

years after the sample starts to decay.

The mass of the sample has decreased by approximately

46

grams

58

years after the sample starts to decay.

The mass of the sample has decreased by approximately

58

grams

46

years after the sample starts to decay.

Approximately

58

grams of the sample remains

46

years after the sample starts to decay.