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In a local district math competition, three schools compete and the winner advance to the state competition. After each round, only one-third of the schools remain in the competition to advance to the state competition. A total of 729 schools start the competition write an exponential function to describe the number of school remaining after x rounds.

Answer :

Answer:

[tex]f(x) = \dfrac{729}{3^x}[/tex]

Step-by-step explanation:

We are given the following in the question:

Number of schools in the starting of the competition = 729

Number of schools remaining after each round =

[tex]\dfrac{1}{3}\text{ of the school in previous round}[/tex]

We have to model an exponential function to describe the number of school remaining after x rounds.

[tex]F(x) = 729(\dfrac{1}{3})^x\\\\f(x) = \dfrac{729}{3^x}[/tex]

is the required function, where f(x) gives the number of school remaining after x rounds.

Answer:

729/3x

Step-by-step explanation:

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