Sound waves can be ranked by their intensity, I, given in the formula below, where r is the distance from the source of a sound
with a power output of P.
P=4πIr²
Solve the formula for the distance from the source, r.
A:

B:

C:

D:

1 answer:
Answer:
D: r=1/2 sqrt(P/πI)
Step-by-step explanation:
P=4πIr²
We want to solve the equation for r
First divide each side of the equation by 4πI
P/4πI =4πIr²/4πI
P/4πI =r²
Then we need to take the square root of each side. Normally we would take the ± square root, but distance cannot be negative.
sqrt(P/4πI) = sqrt(r²)
sqrt(P/4πI) = r
Notice that there is a 4 in the denominator. sqrt(4) = 2
sqrt(P/πI)* 1/sqrt(4) = r
sqrt(P/πI)* 1/2 = r
1/2 sqrt(P/πI) = r
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