At the beginning of November, Taylor Swift's song You Belong With Me had 580 million streams on Spotify. It was gaining 0.4 million new listens each day.

Question

Write an equation to show the total number of streams based on the number of days that have passed. Use x as the variable for the days that have passed.

Answer 1

To create an equation that shows the total number of streams based on the number of days that have passed, we can start with the initial number of streams and then add the streams gained over the days.

Let \( x \) represent the number of days that have passed. The initial number of streams at the beginning of November is 580 million, and the song is gaining 0.4 million streams each day.

The equation representing the total number of streams \( S \) after \( x \) days is:

\[ S = 580 + 0.4x \]

where:

• \( S \) is the total number of streams (in millions),
• 580 is the initial number of streams (in millions),
• 0.4 is the number of million streams gained each day,
• \( x \) is the number of days that have passed.