Question

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 1

Answer:

$f(x) = \dfrac{729}{3^x}$

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 =

$\dfrac{1}{3}\text{ of the school in previous round}$

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

$F(x) = 729(\dfrac{1}{3})^x\\\\f(x) = \dfrac{729}{3^x}$

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