Question

During a musical an orchestra is playing. as the music plays, the volume changes in the beginning of the piece can be modeled by the equation s=10|x-4|+50 where s represents the sound level in decibels and x represents the number of measures of music played. explain in words each step to find the following question:

at what number(s) measures played would the sound level be at 80 decibels?​

Answer 1

X = 1 ; x = 7

Explanation:

Given the equation:

s=10|x-4|+50

s = sound level in decibels ; x = number of measures of music played

Take away 50 from Both right hand and left hand side of the equation

Recall s = 80

80 - 50 = 10│x - 4│+ 50 - 50

30 = 10│x - 4│

To get rid of the absolute value sign, append ± to left hand side

± 30 = 10x - 40

Minimum value of x : - 30 + 40 = 10x ; 10 = 10x ; x = 1

Maximum value of x : 30 + 40 = 10x ; 70 = 10x ; x = 7