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 davs it would take for the two sonas to have the same number of listens.
Use x as vour variable. (1 point)
1000 + 38x = 900 + 40x
Let's call the number of days it would take for the two songs to have the same number of listens "x".
For the first song, the initial number of listens is 1,000 and it gets 38 new listens each day. So the equation for the number of listens for the first song after x days is:
y1 = 1,000 + 38x
For the second song, the initial number of listens is 900 and it gets 40 new listens each day. So the equation for the number of listens for the second song after x days is:
y2 = 900 + 40x
To find the number of days it takes for the two songs to have the same number of listens, we can set y1 equal to y2 and solve for x:
1,000 + 38x = 900 + 40x
To find the number of days it would take for the two songs to have the same number of listens, we can set up an equation using the given information. Let's use x as the variable representing the number of days.
For the first song with 1,000 listens at the beginning of the month and 38 new listens each day, the equation would be:
Number of listens for the first song = 1,000 + 38x
For the second song with 900 listens at the beginning of the month and 40 new listens each day, the equation would be:
Number of listens for the second song = 900 + 40x
To find the number of days it would take for the two songs to have the same number of listens, we can set these two equations equal to each other:
1,000 + 38x = 900 + 40x