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y = kx3.13. (a) A gray wolf (Canis lupus) weighs 45 kg, and has a skull length of 275 mm. Calculate the coefficient of proportionality
y = kx3.13. (a) A gray wolf (Canis lupus) weighs 45 kg, and has a skull length of 275 mm. Calculate the coefficient of proportionality k in the power law. (b) Estimate the weight of the sabretooth tiger (Smilodon pop- ulator). S. populator fossils have skull lengths of 350 mm. (c) How strong was Smilodon's bite? Hartstone-Rose, Perry, and Morrow (2012) studied the correlation between bite force and body mass. They found that, if bite force (measured in new- tons, or N) is f and body mass (measured in kg) is y, then f = cy0.9% for some constant c. (i) The tiger has a bite force of 7980 N, and a mass of 200 kg. Calculate the constant c. (ii) Estimate the bite force of Smilodon populator using your body mass estimate from part (b)
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