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

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)

GPT-4o mini · Answer

Let $ x $ represent the number of days. The total number of listens for the first song after $ x $ days can be expressed as: $$ 1000 + 38x $$ The total number of listens for the second song after $ x $ days can be expressed as: $$ 900 + 40x $$ 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 expressions equal to each other: $$ 1000 + 38x = 900 + 40x $$ This is the equation that shows the number of days it would take for the two songs to have the same number of listens.