Final answer:
LaVant should create a playlist with at least 40 songs for the trip, as the total trip time is 160 minutes and the average song length is 4 minutes 3 seconds.
Step-by-step explanation:
LaVant needs to create a playlist for a trip that is 2 hours 40 minutes long, and the average length of a song is 4 minutes 3 seconds. First, we need to convert the total trip time into minutes. 2 hours 40 minutes is equal to 2 x 60 + 40 = 160 minutes. Now, we convert the average length of a song into seconds to simplify the calculations: 4 minutes 3 seconds is equal to 4 x 60 + 3 = 243 seconds.
Next, we convert the total trip time into seconds to match the units: 160 minutes x 60 seconds/minute = 9600 seconds. Dividing the total trip time in seconds by the length of a song in seconds gives us the number of songs: 9600 seconds / 243 seconds/song ≈ 39.5.
Since LaVant can't play half a song, they should round up, meaning they need at least 40 songs to ensure the playlist lasts for the duration of the trip.
To determine how many songs LaVant should put on the playlist, we need to find the number of songs that can be played within the flight duration. First, we convert the flight duration to minutes by multiplying 2 hours by 60 minutes and adding 40 minutes. This gives us a total of 160 minutes.
Next, we divide the total flight duration by the average length of a song, which is 4 minutes 3 seconds or 4.05 minutes.