Identify the initial value and rate of change for the graph shown
2 answers:
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Answer:
Option A is correct
Step-by-step explanation:
Direct variation says that:
then;
the equation is in the form of
, 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;
.....[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;
Multiply both sides by 5 we have;
Divide both sides by 150 we have;
Simplify:
⇒
therefore, equation relates the weight, w, and the dosage, d is: