The musical note E can be modeled by the function, y = asin(1320πx), where a = 1 and x is the time in seconds. Playing note E on your computer, you notice that it is not loud enough to be heard across the room.What change can you make to the function to make note E louder than the original?

In y = a sin(1320πx), the value of |a| determines the sound wave’s amplitude, which corresponds to loudness. The original has a = 1, so to make the note louder, increase the amplitude to more than 1. A value of a less than −1 also has amplitude greater than 1 because amplitude is |a|. Thus, the correct choice is “Let a > 1 or a < –1.”

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