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 2,130 equals 90 x minus 1,800

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

2,130−80x=1,800−90x
2,130 minus 80 x equals 1,800 minus 90 x

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

Answer 1

The correct equation to represent the scenario where the two videos have the same number of views after \( x \) days is:

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

This can be rearranged to:

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

Which simplifies to:

\[ -10x = -330 \]

So, in the format provided in your options, the closest correct expression is:

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

So, the correct choice from the list is:

80x − 2,130 = 90x − 1,800