Is the relationship between the values in the table to the right a direct variation, an inverse variation, or neither? If the relationship is a direct or inverse variation, then write an equation to model the variation.

Question

Is the relationship between the values in the table to the right a direct variation, an inverse variation, or neither? If the relationship is a direct or inverse variation, then write an equation to model the variation.

x 2,8,14,20
y 5,10.15.20
Is the relationship between the values in the table a direct variation, an inverse variation, or neither?
A Direct
B inverse
C neither

Answer 1

A Direct

To confirm it is a direct variation, we can check if the ratio between y and x is constant.

For the first pair (x=2, y=5):
y/x = 5/2 = 2.5

For the second pair (x=8, y=10):
y/x = 10/8 = 1.25

For the third pair (x=14, y=15):
y/x = 15/14 = 1.07

For the fourth pair (x=20, y=20):
y/x = 20/20 = 1

Since the ratio between y and x is not constant, it is NOT a direct variation.

Is the relationship between the values in the table to the right a direct​ variation, an inverse​ variation, or​ neither? If the relationship is a direct or inverse​ variation, then write an equation to model the variation.

A Direct

Is the relationship between the values in the table to the right a direct variation, an inverse variation, or neither? If the relationship is a direct or inverse variation, then write an equation to model the variation.