Question

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 as your variable.(1 point) please

Answer 1

To find out how many days it will take for the two songs to have the same number of listens, we can set up equations for the number of listens as a function of days.

Let \( x \) be the number of days.

For the first song:
- Initial listens: 1000
- New listens per day: 38

The equation for the number of listens for the first song after \( x \) days is:
\[ 1000 + 38x \]

For the second song:
- Initial listens: 900
- New listens per day: 40

The equation for the number of listens for the second song after \( x \) days is:
\[ 900 + 40x \]

To find the number of days it takes for the two songs to have the same number of listens:
Set the two equations equal to each other:
\[ 1000 + 38x = 900 + 40x \]

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