Question

A decibel is a logarithmic unit that can be used to measure the intensity of a sound. The function

y = 10logx gives the intensity of a sound in decibels, where x is the ratio of the intensity of the sound to a reference intensity. The reference intensity is generally set at the threshold of hearing.

Use the graphing utility to graph the decibel function.
The sound intensity of rustling leaves is 100 times the reference intensity. Use your graph to determine the sound intensity of rustling leaves in decibels.
-------decibles

Answer 1

x=100
Y=10log100
Log100= 2
2x10=20
Y=20 decibels

Answer 2

y = 10logx

"The sound intensity of rustling leaves is 100 times the reference intensity."
but x = ratio of intensity of sound to reference to intensity, so the x = 100:1 or x = 100

y = 10log(100) = 10 * 2 = 20 decibels


20 decibels