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Math·Advanced Math·Nonlinear functions

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A computer program models the total mass of the population of a certain type of algae after the algae was placed in an environment where it has no natural predators. According to the model, the estimated total mass of this population of algae at the end of every $6$-hour period is $129\%$ greater than the estimated total mass of this population of algae at the end of the previous $6$-hour period, and the estimated total mass of this population of algae is $613.90$ grams after $18$ hours. Which equation best represents this model, where $A$ is the estimated total mass, in grams, of the population of algae after $x$ hours, and $x<50$?

A

$A=34.11(1.29{)}^{\frac{x}{6}}$

B

$A=34.11(2.29{)}^{\frac{x}{6}}$

C

$A=51.12(2.29{)}^{\frac{x}{6}}$

D

$A=285.98(1.29{)}^{\frac{x}{6}}$