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Bela started studying how the number of branches on her tree grows over time. Every $2.9$ years, the number of branches increases by an additional 83\%, and can be modeled by a function, N, which depends on the amount of time, ${t}$ (in years).

When Bela began the study, her tree had 60 branches.

Write a function that models the number of branches $t$ years since Bela began studying her tree.

$N(t)=60 \cdot(1.83)^{\frac{t}{2 \cdot 9}}$

$N(t)=60(0.83)^t$

$N(t)=60 .(1.83)$

$N(t)=83(1.60)^t$

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