At the beginning of the month, a song on a streaming service already had 1,000 listens, and was getting 38 new listens each day. Meanwhile, a different song already had 900 listens, and was getting 40 new listens each day. Write an equation to show the number of days it would take for the two songs to have the same number of listens. Use x

Question

as your variable.(1 point)
(box)

Answer 1

To find the number of days it would take for the two songs to have the same number of listens, we can set up equations based on the information provided.

Let \( x \) represent the number of days that pass.

For the first song:

• Starting listens = 1,000
• New listens per day = 38

So, the number of listens after \( x \) days is: \[ 1000 + 38x \]

For the second song:

• Starting listens = 900
• New listens per day = 40

So, the number of listens after \( x \) days is: \[ 900 + 40x \]

To find when the two songs have the same number of listens, we can set the two equations equal to each other: \[ 1000 + 38x = 900 + 40x \]

This equation can be solved to find the value of \( x \) (the number of days).