A sound barrier along a highway reduced the intensity of the noise reaching a community by 95%. By how many decibels was the noise reduced?

The noise was reduced by 5.7884 decibels

Explanation:

Using the percentage-decibel table, the 95% decibel level y obtained by interpolation

Percentage Decibel

75 4.86

95 y

100 6.0205

95-75/100-75 = y-4.86/6.0205-4.86

0.8 = y-4.86/1.1605

y-4.86 = 0.8×1.1605

y - 4.86 = 0.9284

y = 4.86+0.9284 = 5.7884 decibels

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