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, 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.

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ShiningHalley ShiningHalley · Answer 1 · 2020-02-11T06:48:00+01:00

Answer:

The required function that models the number of branches t years since Bela began studying her tree is

number of branches = [tex]60(1.83)^{\frac{t}{2.9} }[/tex]

Step-by-step explanation:

Let t be the time in years

Initially Bela's tree had 60 branches.

therefore the function that can be used to model the number of branches after t years will be given by

number of branches( after t years) [tex]= 60\times(1 + \frac{83}{100})^{\frac{t}{2.9} } = 60(1.83)^{\frac{t}{2.9} }[/tex]