x: 3; 9; 13; 20

y: 9; 27; 39; 60

State whether the relationship between the variables in the table is a direct variation, an inverse variation, or neither. If it is a direct or inverse variation, write a function to model it.

1 answer

The relationship between x and y in the table is a direct variation.

To model the direct variation, we can write it as y = kx, where k is the constant of variation.

To find the constant of variation, we can choose any pair of values from the table. Let's use the first pair (x=3, y=9):

9 = k(3)
k = 3

Therefore, the function to model the direct variation is y = 3x.