Question

At the beginning of the month, a movie on a streaming service had 2,080 views, and it was getting 74 new views each day. Meanwhile, a different movie had 1,760 views, and it was getting 90 new views each day. Write and solve an equation to show the number of days it would take for the two videos to have the same number of views. (1 point)
Responses

74x+2,080=90x+1,760
; x=20
74 x plus 2,080 equals 90 x plus 1,760 ; x equals 20

2,080−74x=1,760−90x
; x=16
2,080 minus 74 x equals 1,760 minus 90 x ; x equals 16

2,080x+74=1,760x+90
; x=20
2,080 x plus 74 equals 1,760 x plus 90 ; x equals 20

74x+2,080=90x+1,760
; x=16

Answer 1

To find the number of days it would take for the two movies to have the same number of views, we can set up an equation.

Let \( x \) be the number of days. The number of views for the first movie after \( x \) days can be expressed as:
\[ 74x + 2080 \]

The number of views for the second movie after \( x \) days can be expressed as:
\[ 90x + 1760 \]

We want to set these two expressions equal to each other:
\[ 74x + 2080 = 90x + 1760 \]

Now, let's solve for \( x \):

1. Subtract \( 74x \) from both sides:
\[ 2080 = 16x + 1760 \]

2. Subtract \( 1760 \) from both sides:
\[ 320 = 16x \]

3. Divide both sides by 16:
\[ x = 20 \]

So, it would take 20 days for the two videos to have the same number of views.

The correct response is:
\[ 74x + 2080 = 90x + 1760 ; x = 20 \]