Drag numbers to the table so it shows a proportional relationship between x and y.
6.4
8.8
64
12.8
5.6
What numbers can be dragged to the table so it shows a proportional relationship between x and y?
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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