f varies inversly as square of d, when d=5 , f=18, find K
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d = 4 Step-by-step explanation: Given f varies inversely as d² then the equation relating them is f = ← k is the constant of variation To find k use the condition when d = 2, f = 6 , then 6 = = ( multiply both sides by 4 ) 24 = k f = ← equation of variation When f = 1.5 , then 1.5 = ( multiply both sides by d² ) 1.5d² = 24 ( divide both sides by 1.5 ) d² = 16 ( take the square root of both sides ) d = = 4
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