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

x
as your variable.(1 point)
Responses

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

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

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

80x−2,130=90x−1,800

Answer 1

To find the number of days it would take for the two videos to have the same number of views, we can set up an equation based on the views each video receives.

Let \( x \) be the number of days.

1. The first video starts with 2,130 views and gets 80 new views each day. Thus, the total views for the first video after \( x \) days can be expressed as:

   \[ 80x + 2,130 \]

2. The second video starts with 1,800 views and gets 90 new views each day. The total views for the second video after \( x \) days can be expressed as:

   \[ 90x + 1,800 \]

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

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

So, the correct equation is:

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