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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?

Ad=1/50w
Bd=3/5w
Cd=18w
Dd=50w

Verified Answer :

Answer:

Option A is correct

\(d = \frac{1}{50}w\)

Step-by-step 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;

\(\frac{3}{5} = 30k\)

Multiply both sides by 5 we have;

\(3 = 150k\)

Divide both sides by 150 we have;

\(\frac{3}{150}=k\)

Simplify:

\(k = \frac{1}{50}\)

⇒\(d = \frac{1}{50}w\)

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

\(d = \frac{1}{50}w\)

Ahmedmou

Answer:

simple answer a

Step-by-step explanation:

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