Desmos Graphing Calculator

CalcReferenceCopy

Math·Advanced Math·Nonlinear functions

medium

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?

A

The mass of the sample is approximately $27$ grams $3$ years after the sample starts to decay.

B

The mass of the sample is approximately $27$ grams $3$ $29$-year periods after the sample starts to decay.

C

The mass of the sample is approximately $3$ grams $27$ $29$-year periods after the sample starts to decay.

D

The mass of the sample is approximately $3$ grams $27$ years after the sample starts to decay.