What numbers can be dragged to the table so it shows a proportional relationship between x and y?

To show a proportional relationship between x and y, the ratio ( frac{y}{x} ) must remain constant.

Let’s analyze the numbers you provided:

– For ( x = 6.4, y = 8.8 ): ( frac{8.8}{6.4} = 1.375 )

– For ( x = 12.8, y = 8.8 ): ( frac{8.8}{12.8} = 0.6875 )

– For ( x = 5.6, y = 8.8 ): ( frac{8.8}{5.6} = 1.5714 )

– For ( x = 64, y = 8.8 ): ( frac{8.8}{64} = 0.1375 )

To maintain the proportional relationship, every corresponding pair of values must yield the same ratio. Based on the values given, we can deduce that ( y = kx ) where ( k ) is a constant.

For example, if you pair ( x = 6.4 ) with ( y = 8.8 ) and ( x = 5.6 ) with ( y = 7.4 ), this could express a proportional relationship depending on what numbers should be matched.

I encourage you to think through the numbers and how you could pair them