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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 $24\%$ every $22.96$ 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

$M=100(0.24{)}^{t+22.96}$

B

$M=100(0.24{)}^{\frac{t}{22.96}}$

C

$M=100(0.76{)}^{t+22.96}$

D

$M=100(0.76{)}^{\frac{t}{22.96}}$