Question: Some bats determine their distance to an object by detecting the difference in intensity between echoes. (a) If intensity falls off at a rate that

Some bats determine their distance to an object by detecting the difference in intensity between echoes.
(a) If intensity falls off at a rate that is inversely proportional to the distance squared, show that the echo intensity is inversely proportional to the fourth power of distance?
(b) The bat was originally 0.60 m from one object and 1.10 m from another. After flying closer, it is now 0.50 m from the first and at 1.00 m from the second object. What is the percentage increase in the intensity of the echo from each object?

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