Question

There were 567 people at a concert when a band started playing. After each song, only one-third of the people stayed to hear the next song. How many people were left at the concert after x songs? Write a function to represent this scenario.

Answer 1

To represent the scenario, we can use a function called P(x) where x represents the number of songs. The function P(x) = 567 * (1/3)^x can be used to calculate the number of people left after x songs.

Step-by-step explanation:

To represent the scenario, we can use a function that calculates the number of people left after x songs. Let's call this function P(x). We know that after each song, only one-third of the people stay to hear the next song. So, for each song, the number of people left is one-third of the previous number of people. Therefore, the function P(x) can be defined as:

P(x) = 567 * (1/3)^x

For example, if we want to find the number of people left after 5 songs, we plug in x=5 into the function:

P(5) = 567 * (1/3)^5

P(5) = 567 * (1/243)

P(5) ≈ 2.333

Answer 2

Step-by-step explanation:

F(x)= 567( 1/3)×