there were 567 people at a concert when a and 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
Let f(x) represent the number of people left at the concert after x songs.
To solve this question, we need to consider the number of people left after each song.
After the first song, only one-third of the people stayed, which means there were 567 * (1/3) = 189 people left.
After the second song, only one-third of the remaining people stayed, which means there were 189 * (1/3) = 63 people left.
We can observe a pattern here: After each song, the number of people left is multiplied by (1/3).
Therefore, we can write the following recursive equation:
f(x) = f(x-1) * (1/3)
To represent this scenario as a function, we can use a recursive function in most programming languages. Here is an example in Python:
def people_left(x):
if x == 0:
return 567
else:
return people_left(x-1) * (1/3)
Using this function, if we want to find the number of people left after 5 songs, we simply call people_left(5), which will return the result.