Question

if the sound level of a wave drops by 6 decibels (db) per every doubling of the distance, then a variation of a line formula could capture the dynamic as follows.
y = resulting db value of a wave
x = number of times the distance is doubled from a specific observed db level
b = original specific observed db level
resulting in the following formula.
y = -6x + b
found the value of x when y = 0 and b = 54
(you do not need to include the units. only enter the number value for an answer.)

Explanation:

Step1: Substitute values into formula

Substitute $y = 0$ and $b = 54$ into $y=-6x + b$. We get $0=-6x + 54$.

Step2: Solve for $x$

First, add $6x$ to both sides of the equation: $6x=54$. Then divide both sides by 6. So, $x=\frac{54}{6}$.

Answer:

9