Solving Linear Equations Unit Test 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 listensUse as your variable (1 point)

Question

Solving Linear Equations Unit Test 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 listensUse as your variable (1 point)

Answer 1

Let x be the number of days it would take for the two songs to have the same number of listens.

The equation for the first song would be:
1000 + 38x

The equation for the second song would be:
900 + 40x

Setting the two equations equal to each other, we have:
1000 + 38x = 900 + 40x

Solving for x:
1000 - 900 = 40x - 38x
100 = 2x
x = 50

Therefore, it would take 50 days for the two songs to have the same number of listens.