Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? if it is a direct or inverse variation, write a function to model it.

a. inverse variation; y=30/x
b. neither
c. direct variation; y=30x
d. direct variation; y=x+15

y = -1/4x +2

Step-by-step explanation:

We know the y intercept is 2  ( where it crosses the y axis)

We also need to find the slope

( 0,2) and (4,1) are two points on the line

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (1-2)/(4-0)

   -1/4

We can write the equation in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -1/4x +2