Question

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 5 A is greater than or equal to 45 5a≤45 5 A is less than or equal to 45 5a>45 5 A is greater than 45 5a<45 5a<45 Question 2 (1 point) Ashley's app has 9 playlists.

Answer 1

To determine the inequality that describes the total number of playlists on both Ashley's and Liam's apps combined, we first note that:

• The number of playlists on Ashley’s app is represented by \( a \).
• The number of playlists on Liam’s app is \( 4a \) (since it is 4 times the number of Ashley's).

The total number of playlists combined would therefore be \( a + 4a = 5a \).

Given that this total must be at least 45, we can set up the inequality:

\[ 5a \geq 45 \]

So the correct inequality is:

5a ≥ 45

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For your second question, if Ashley's app has 9 playlists, we can substitute \( a = 9 \) into the inequality:

\[ 5a \geq 45 \] Substituting for \( a \):

\[ 5(9) \geq 45 \] \[ 45 \geq 45 \]

This is true, showing that when Ashley has 9 playlists, the condition is satisfied.