One of the loudest sounds in recent history was that made by the explosion of krakatoa on august 26-27, 1883. according to barometric measurements, the sound had a decibel level of 180 db at a distance of 161 km. assuming the intensity falls off as the inverse of the distance squared, what was the decibel level on rodriguez island, 4,800 km away?

150.51 dB

Step-by-step explanation:

Data provided in the question:

decibel level of sound at 161 km distance = 180 dB

d₁ = 161 km

d₂ = 4800 km

I₁ = 180 db

The formula for intensity of sound is given as:

I =

and the relation between intensity and distance is given as:

I ∝

or

Id² = constant

thus,

I₁d₁² = I₂d₂²

or

therefore,

I =

or

I =

or

I = 20 × (-1.474)

or

I = -29.49

Therefore,

the decibel level on Rodriguez Island, 4,800 km away

= 180 - 29.49

= 150.51 dB

step-by-step explanation:

the true ones are a b and d

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct