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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.

User PublicJorn
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2 Answers

2 votes

Answer:

729/3x

Explanation:

User Rachit Kapadia
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4 votes

Answer:


f(x) = (729)/(3^x)

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 =


(1)/(3)\text{ of the school in previous round}

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


F(x) = 729((1)/(3))^x\\\\f(x) = (729)/(3^x)

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

User Abhijit Srivastava
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