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.

Question

Mathematics

Rhianna Barr

Today, 12:28

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.

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Tommy Lowe · Answer 1

To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.

At x = 0 y = 567

at x = 1 y = 567 - 567 (1/3)

at x = 2 y = 567 - 567 (1/3) (1/3)

at x = 3 y = 567 - 567 (1/3) (1/3) (1/3)

Therefore, the number of people left after x songs would be represented by the equation:

y = 567 - 567 (1/3) x

y = 567 (1 - x/3)