Question

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y 40 32 28 16 16 12

Answer 1

To determine if y varies directly with x, we can check if the ratio y/x is constant for all values in the table.

Taking the first pair of values (40, 32), we find that y/x = 32/40 = 0.8.

For the second pair (28, 16), y/x = 16/28 ≈ 0.57.

Lastly, for the third pair (16, 12), y/x = 12/16 = 0.75.

Since the ratios y/x are not constant for all values, we can conclude that y does not vary directly with x.

Therefore, we cannot write an equation for direct variation in this case.