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The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog 3/5 milligram of the medicine, which equation relates the weight, w, and the dosage, d?

A. d=1/50w
B. d=3/5w
C. d=18w
D. d=50w

User Papagaga
by
8.6k points

2 Answers

3 votes

Answer:

simple answer a

Explanation:

User Markzzz
by
8.4k points
5 votes

Answer:

Option A is correct


d = (1)/(50)w

Explanation:

Direct variation says that:


y \propto x then;

the equation is in the form of


y=kx, where k is the constant of variation

As per the statement:

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog.

Here, w represents the weight and d represents the dosage

then ,by definition of direct variation we have;


d =kw .....[1]

It is also given that if the veterinarian gives a 30-pound dog 3/5 milligram of the medicine

⇒w = 30 pound and d = 3/5 milligram

Substitute in [1] we have;


(3)/(5) = 30k

Multiply both sides by 5 we have;


3 = 150k

Divide both sides by 150 we have;


(3)/(150)=k

Simplify:


k = (1)/(50)


d = (1)/(50)w

therefore, equation relates the weight, w, and the dosage, d is:


d = (1)/(50)w

User Maxday
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