Answer:
a. ║ t - 250 ║ = 30. b. The last song will fit into the album.
Step-by-step explanation:
a. Since the song must be within 30 seconds of 250 seconds to fit in the recording space left on the album, let t be the time duration of the song. So, for it to be within 30 seconds of 250 seconds, the expression is
t - 250 = ±30 or ║ t - 250 ║ = 30.
b. Since the song is 4 minutes and 47 seconds long, converting this to seconds, it is 4 × 60 s + 47 s = 240 s + 47 s = 287 s.
Inserting t into the left side of the equation t - 250 = 287 - 250 = 27 s which is less than 30 s. Since the time difference is less than 30 s, the last song will fit into the album.
