At the beginning of the month, a video on a streaming service already had 2,130 views, and was getting 80 new views each day. Meanwhile, a video on a different service already had 1,800 views, and was getting 90 new views each day. Write an equation to show the number of days it would take for the two videos to have the same number of views. Use x

Question

as your variable.(1 point)
Responses

80x−2,130=90x−1,800
80 x minus 2 comma 130 is equal to 90 x minus 1 comma 800 - no response given

80x+2,130=90x+1,800
80 x plus 2 comma 130 is equal to 90 x plus 1 comma 800 - no response given

80x+1,800=90x+2,130

Answer 1

To find the number of days it would take for the two videos to have the same number of views, we need to set up an equation based on the information provided.

Let's denote \( x \) as the number of days after the start of the month.

For the first video:

• Initial views: 2,130
• Views gained per day: 80
• Total views after \( x \) days: \( 2,130 + 80x \)

For the second video:

• Initial views: 1,800
• Views gained per day: 90
• Total views after \( x \) days: \( 1,800 + 90x \)

To find out when both videos have the same number of views, we set the two expressions equal to each other:

\[ 2,130 + 80x = 1,800 + 90x \]

Now, let's simplify and rearrange the equation:

\[ 80x - 90x = 1,800 - 2,130 \] \[ -10x = -330 \] \[ x = 33 \]

Thus, the correct equation to set is:

\[ 2,130 + 80x = 1,800 + 90x \]

But the equation you provided closest to matching was:

\[ 80x - 2,130 = 90x - 1,800 \]

This rearranges to the same equation when set properly, so that one is also correct. Therefore, the correct equation setup is:

Final Answer: \( 2,130 + 80x = 1,800 + 90x \) or rearranged, \( 80x - 2,130 = 90x - 1,800 \).