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-41+ 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

Kindly check explanation

Explanation:

Given the sound model:

s = 10│x - 4│+ 50

x = measure of music played ; s = sound level I. Decibel

Number measure at which sound level = 80

Plugging values into the equation:

80 = 10│x - 4│+ 50

Subtract 50 from Both sides so as to eliminate the 50 on the right hand side

80 - 50= 10│x - 4│+ 50 -50

30 = 10 |x - 4| + 0

Divide through by 10 so as to isolate the absolute inequality expression

3 = |x - 4|

Eliminate the absolute value sign

±3 = x - 4

Hence,

x = - 3 + 4 = 1

x = 3 + 4 = 7

Hence, x = 1 ; x = 7