To solve the problem, we first need to express the relationship between the playlists on Ashley's app (a) and the playlists on Liam's app. Since Liam's number of playlists is 4 times Ashley's, we can express it as:
- Liam's playlists = 4a
The total number of playlists combined is represented by:
- Total playlists = Ashley's playlists + Liam's playlists
- Total playlists = a + 4a = 5a
According to the problem, the total number of playlists is at least 45, so we set up the inequality:
\[ 5a \geq 45 \]
Thus, the correct inequality that can be used to determine the number of playlists in Ashley's app is:
5a ≥ 45
For Question 2, since Ashley's app has 9 playlists, we can substitute a = 9 into the inequality:
\[ 5(9) \geq 45 \] \[ 45 \geq 45 \] (This is true)
In context with your second question regarding the wording (at least, at most, exactly, less than, greater than), since the correct interpretation of the situation is that Ashley has at least a certain number of playlists to meet the total requirement, the appropriate term to apply here would be:
- "at least"
So, to summarize:
- The inequality is 5a ≥ 45.
- Ashley's app has at least 9 playlists.