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
y
2
60
4
30
6
20
8
15
s the relationship between the values in the table a direct variation, an inverse variation, or neither?
Neither

Inverse

Direct

Answer 1

This relationship is a direct variation. To write the equation, we can use the formula y = kx, where k is the constant of variation. To find k, we can use any set of values from the table. Let's use the values (2, 60):

60 = k * 2
k = 30

Therefore, the equation that models the direct variation is y = 30x.

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.

This relationship is a direct variation. To write the equation, we can use the formula y = kx, where k is the constant of variation. To find k, we can use any set of values from the table. Let's use the values (2, 60):

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.