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 decibles?
( I need the answers, plus the steps please and thank youuu :)​

Answer 1

Kindly check explanation

Explanation:

Given the equation:

s = 10│x - 4│+ 50

Where s = sound level in decibels

x = number of measures of music played

Step 1:

Subtract 50 from Both sides

s - 50 = 10│x - 4│+ 50 - 50

s - 50 = 10│x - 4│

For s = 80

80 - 50 = 10│x - 4│

30 = 10│x - 4│

Clear the absolute value sign

± 30 = 10x - 40

Hence ;

Lower value :

- 30 + 40 = 10x

10 = 10x

x = 1

Upper value :

+30 + 40 = 10x

70 = 10x

x = 7