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

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

2,080−74x=1,760−90x
; x=16

Answer 1

To determine the number of days it would take for the two movies to have the same number of views, we can set up an equation based on their views over time.

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

The total number of views for the first movie after \( x \) days will be:
\[
74x + 2080
\]
for the second movie:
\[
90x + 1760
\]

To find out when both movies have the same number of views, we can set these two expressions equal to each other:
\[
74x + 2080 = 90x + 1760
\]

Now, we can solve for \( x \):

1. Rearranging the equation:
\[
2080 - 1760 = 90x - 74x
\]

2. Simplifying the equation:
\[
320 = 16x
\]

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

So, it will take **20 days** for the two movies to have the same number of views.

The correct response from your choices is:
**74x + 2,080 = 90x + 1,760; x = 20**.