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 = 24 and b = 90 (you do not need to include the units. only enter the number value for an answer.)

Explanation:

Step1: Substitute values into formula

Substitute $y = 24$ and $b = 90$ into $y=-6x + b$. We get $24=-6x + 90$.

Step2: Isolate the term with $x$

Subtract 90 from both sides: $24 - 90=-6x+90 - 90$. So, $-66=-6x$.

Step3: Solve for $x$

Divide both sides by -6: $\frac{-66}{-6}=\frac{-6x}{-6}$. Thus, $x = 11$.

Answer:

11