Answer:constant of variation(k) is, 250.
Step-by-step explanation:
The inverse variation says that:
then, the equation is in the form of :
....[1] where, k is the constant of variation
As per the statement:
Suppose that y varies inversely with x.
then,
by definition of inverse variation we have;
When x = 2.5 and y = 100 then
Substitute these in [1] we have;
Multiply 2.5 both sides we have;
or
k = 250
⇒
Therefore, the constant of variation is, 250 and the equation we get
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Step-by-step explanation:
