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

Answer:

For Apex the answer is f(x)=567(1/3)^x

Step-by-step explanation:

Answer 2

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 )