A veterinarian knows that a 50-pound dog gets 0.5 milligram of a certain medicine, and that the number of milligrams, m, varies directly with the weight of the dog, w. the vet uses these steps to find the amount of medicine to give a 10-pound dog.

Question

Warren Summers

Mathematics

6 February, 13:38

A veterinarian knows that a 50-pound dog gets 0.5 milligram of a certain medicine, and that the number of milligrams, m, varies directly with the weight of the dog, w. the vet uses these steps to find the amount of medicine to give a 10-pound dog.

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Lucia Sullivan · Answer 1

M = 0.01w

So for a 10 pound dog, m = 0.01 (10) = 0.1 mg

Also, since 10 pounds is 1/5 of 50 pounds, then 1/5 of 0.5 mg is 0.1 mg.

With either calculation, the dose is 0.1 mg