For a certain isotope, at the end of every $29$-year period, the mass…

|Question 8Math

Question

Prompt

For a certain isotope, at the end of every

29

-year period, the mass of a sample of the isotope has decayed to half its mass at the beginning of the

29

-year period. The function

s (t) = 216 (0.5)^{\frac{t}{29}}

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

t

years after a

216

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

s (3 \cdot 29) = 27

in this context?

The mass of the sample is approximately

27

grams

3

years after the sample starts to decay.

The mass of the sample is approximately

27

grams

3

29

-year periods after the sample starts to decay.

The mass of the sample is approximately

3

grams

27

29

-year periods after the sample starts to decay.

The mass of the sample is approximately

3

grams

27

years after the sample starts to decay.