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 8 13 16 26 24 39 (1 point) Responses yes; y = 5x yes; y = 5 x yes; y = 10x yes; y = 10 x yes; y = 1.625x yes; y = 1.625 x no; y does not vary directly with x. no; y does not vary directly with x.

Answer 1

thank you!

Answer 2

To determine if y varies directly with x, we need to check if the ratio of y to x is always the same.

Let's calculate the ratios for each pair of values:

For (8 , 13): y/x = 13/8 ≈ 1.625
For (16, 26): y/x = 26/16 ≈ 1.625
For (24, 39): y/x = 39/24 ≈ 1.625

Since the ratios are always the same (approximately 1.625), we conclude that y varies directly with x.

Therefore, the equation for the direct variation is: y = 1.625x

Answer 3

You're welcome! If you have any more questions, feel free to ask.