# Kenzie finished recording the last song for her new album. The song was 4 minutes and 47 seconds long. The song must be within 30 seconds of 250 seconds long to fit in the recording space left on the album. Write an absolute value inequality to represent the situation and solve. Will the last song fit on the album?

1 answer

###### Question:

Kenzie finished recording the last song for her new album. The song was 4 minutes and 47 seconds long. The song must be within 30 seconds of 250 seconds long to fit in the recording space left on the album. Write an absolute value inequality to represent the situation and solve. Will the last song fit on the album?

## Answers

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.

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