The decibel level D, a measure of loudness of sound, can be calculated from the relative intensity I of sound. The relationship is
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A: If one sound is 1,000 times as intense as another, how do their decibel ratings compare?B: Is the graph of D versus I concave up or concave down? Explain what the concavity means in practical terms.C: Solve the equation above to express relative intensity as a function of decibels.
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What will be an ideal response?
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B: The graph is concave down. Decibels increase at a decreasing rate, which means that a small change in intensity makes a greater contribution to the decibel rating for quieter sounds than for louder sounds.
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C:
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