A verbal expression can be represented by a variable expression. Numbers are used when they are known; variables are used when the numbers are unknown.
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Students have had experience with tables of values (input/output tables) in elementary grades and the concept of a ratio table should be connected to their prior knowledge of representing number patterns in tables.
The ordered pair (2, 10) is a quantity in both relationships; however, the relationship evident between the other quantities in the table, discerns between additive or multiplicative.
represent a proportional relationship between two quantities, including those arising from practical situations;
Students have had experiences with tables of values (input/output tables that are additive and multiplicative) in elementary grades.
In the multiplicative relationship, y is the result of multiplying 5 times x.