Suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. x = 2.5 when y = 100.

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

step-by-step explanation: