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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 $22\%$ every $11.11$ minutes. Which of the following equations could represent this model, where $M$ is the estimated mass, in grams, of the sample $t$ minutes after the researcher began observing the sample?

A

$M=100(0.22{)}^{t+11.11}$

B

$M=100(0.22{)}^{\frac{t}{11.11}}$

C

$M=100(0.78{)}^{t+11.11}$

D

$M=100(0.78{)}^{\frac{t}{11.11}}$