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,

Question

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)
74x + 2, 080 = 90x + 1, 760; x = 20 
74x + 2, 080 = 90x + 1, 760; x = 16
2, 080 − 74x = 1, 760 − 90x; x = 16
2, 080x + 74 = 1, 760x + 90; x = 20

Answer 1

To determine the number of days it would take for the two movies to have the same number of views, we let \(x\) represent the number of days.

For the first movie:

• Initial views: 2,080
• Daily views increase: 74
• Total views after \(x\) days: \(2,080 + 74x\)

For the second movie:

• Initial views: 1,760
• Daily views increase: 90
• Total views after \(x\) days: \(1,760 + 90x\)

We need to set their total views equal to each other:

\[ 2,080 + 74x = 1,760 + 90x \]

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

1. First, we simplify the equation: \[ 2,080 - 1,760 = 90x - 74x \] \[ 320 = 16x \]

2. Now, isolate \(x\): \[ x = \frac{320}{16} \] \[ x = 20 \]

So, it will take 20 days for the two movies to have the same number of views. Thus, the correct option is:

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