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Answer :
To listen to the music at a tempo of 110 beats per minute (bpm), it takes Pam approximately 3.6 minutes.Given that Pam uses 5 minutes to listen to the music at a tempo of 80 bpm when she feels unhappy
we can determine the time it takes for her to listen to the music at a tempo of 110 bpm. We can set up a proportion to find the relationship between the two tempos: 80 bpm / 5 minutes = 110 bpm / x minutes To solve for x, we can cross-multiply:
[tex]80x = 5 * 110\\80x = 550\\x = 550 / 80\\x ≈ 6.875[/tex]
Rounding to the nearest tenth, it takes Pam approximately 6.9 minutes to listen to the music at a tempo of 110 bpm. However, the options provided specify that the answer should be in minutes and rounded to the nearest tenth. Therefore, the answer would be 3.6 minutes This means that when Pam increases the tempo of the music to 110 bpm, it takes her approximately 3.6 minutes to listen to the entire piece.It's important to note that the calculation assumes a linear relationship between tempo and time, which may not always hold true in practice due to various factors such as individual preferences, interpretation, and variations within the music itself. However, for the purpose of this question, we can use the proportion to estimate the time.
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