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Math·Advanced Math·Nonlinear functions

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A researcher observes a sample of a nuclide. An exponential model estimates that the mass, in grams, of the sample decreases by $23\%$ every $11.69\text{ minutes}$. Which of the following equations could represent this model, where $M$ is the estimated mass, in grams, of the sample $t\text{ minutes}$ after the researcher began observing the sample?

A

$M=100(0.77{)}^{\frac{t}{11.69}}$

B

$M=100(0.77{)}^{t+11.69}$

C

$M=100(0.23{)}^{\frac{t}{11.69}}$

D

$M=100(0.23{)}^{t+11.69}$