Final answer:
To calculate how many songs Scott should put on the playlist, we divide the party duration by the average length of a song. After converting the seconds to minutes, the answer is approximately 47.6 songs, which rounds up to 48 songs. option a
Step-by-step explanation:
To calculate how many songs Scott should put on the playlist, we need to first convert the party duration to minutes. There are 60 minutes in an hour, so the party will last 3 hours × 60 minutes/hour = 180 minutes. Next, we divide the party duration by the average length of a song to find the number of songs: 180 minutes ÷ 3 minutes 47 seconds/song.
We need to convert the seconds to minutes to ensure consistent units. There are 60 seconds in a minute, so 47 seconds equals 47 ÷ 60 minutes/second = 0.78 minutes.
Therefore, the number of songs Scott should put on the playlist is approximately 180 minutes ÷ (3 minutes + 0.78 minutes/song) = 180 minutes ÷ 3.78 minutes/song ≈ 47.6 songs.
Since Scott can't have a fraction of a song, he should round up to the nearest whole number. So Scott should put 48 songs on the playlist. Option a