The loudness L of a sound measured in decibels inversely pro

The loudness L of a sound measured in decibels inversely proportional to the square of the distance J from (he source of the sound. A person who is 10 ft from a lawn mower experiences a sound level of 70 dB hind the constant of proportionality, and write the equation that expresses the inverse proportionality. How loud is (he lawn mower when (he person is 100 ft away 1 Polynomial functions Degree = n (the largest exponent) End behavior - one of 4 patterns determined by leading term

Solution

a) L = k / d^2

where L is teh loudness of sound

d = distance from source of sound

L = 70

d = 10 feet

plugging teh values

70 = k / 10^2

k = 70* 100 = 7000

b) L = 7000/ 100^2 = .7 dB