Does the relation in the table represent direct variation, inverse variation, or neither? If it is director inverse variation, write an equation to represent the relation. Explain your answer.

9514 1404 393

  inverse

  y = 10/x

Step-by-step explanation:

Inverse variation is described by an equation of the form ...

  y = k/x

The value of k is a constant equal to ...

  k = xy = 5·2 = 10·1 = 15·2/3 = 20·1/2 = 10

__

Here, the products of the x- and y-values are all 10, so the inverse variation equation is ...

  y = 10/x

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

linear pair postulates