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)

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)

Answer 1

Let "x" represent the number of days.

For the first song: number of listens = 1000 + 38x
For the second song: number of listens = 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 the equations equal to each other:

1000 + 38x = 900 + 40x

Answer 2

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 denote the number of days as x.

For the first song, the number of listens can be represented as 1,000 + 38x.

For the second song, the number of listens can be represented as 900 + 40x.

Setting the two expressions equal to each other, we have:

1,000 + 38x = 900 + 40x

Now, we can solve for x to find the number of days it would take for the two songs to have the same number of listens.

Answer 3

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 let "x" represent the number of days it takes for the two songs to have the same number of listens.

For the first song, which already had 1,000 listens and is getting an additional 38 listens each day, the total number of listens after "x" days would be:

1,000 + 38x

For the second song, which already had 900 listens and is getting an additional 40 listens each day, the total number of listens after "x" days would be:

900 + 40x

We want to find the value of "x" when the two songs have the same number of listens. So, we can set up the equation:

1,000 + 38x = 900 + 40x

By rearranging and simplifying this equation, we can solve for "x" to find the number of days it would take for the two songs to have the same number of listens.

Answer 4

An ice skating rink has two ways you can use the facility. The first option is to pay $10 per visit. The second option is to pay $32 per month, and $6 per visit. Write and solve an equation to show the number of visits it would take for the cost of the two plans to be equal.(1 point)

Responses

10x=32−6x ; x=2
10 x equals 32 minus 6 x ; x equals 2

10=32+6x ; x=−3
10 equals 32 plus 6 x ; x equals negative 3

10x=32+6x ; x=4
10 x equals 32 plus 6 x ; x equals 4

10x=32+6x ; x=8
10 x equals 32 plus 6 x ; x equals 8