Question

In a singing competition, there are

150 participants. At the end of each
round, 40% of the participants are
eliminated. How many participants
are left after n rounds?

Answer 1

150(.40)^n is your equation

Explanation:

Answer 2

`=150\cdot{0.4^n}`

Explanation:

Let n be the number of rounds. Lets look at n=1 which is round one. Therefore if 40% of the contestants are eliminated then we can write an expression of the number of contestants eliminated:

`=150\cdot{0.4}`

For round two, n=2:

`=150\cdot{0.4)\cdot{0.4}=150\cdot{0.4^2}`

Therefore for the n number of rounds:

`=150\cdot{0.4^n}`