Ashley and Liam both have playlists on their music apps.

The number of playlists on Ashley’s app can be represented by a.
The number of playlists on Liam’s app is 4 times the number of playlists on Ashley’s app.
The total number of playlists on both their apps combined is at least 45.
Which inequality can be used to determine the number of playlists in Ashley's app?

(1 point)
Responses

5a≥45

5a≤45

5a>45

5a<45

1 answer

To represent the situation mathematically, we know:

  1. The number of playlists on Ashley's app is \( a \).
  2. The number of playlists on Liam's app is \( 4a \) (since it is 4 times the number of playlists on Ashley's app).
  3. The total number of playlists on both apps is \( a + 4a = 5a \).
  4. We also know that this total is at least 45, which translates to the inequality \( 5a \geq 45 \).

So the correct inequality to determine the number of playlists in Ashley's app is:

5a ≥ 45.