Answer:
[tex]y=7x[/tex]
Step-by-step explanation:
Notice that if you divide each n-value by its correspoding m-value, you always have 7 as a result, that means it's the constant ratio of change,
21/3 = 7
35/5 = 7
56/8 = 7
Now, this is a linear relatioship by definition, where its constant ratio is 7, but geometrically, that ratio is the slope of a linear equation.
So, we need to use the slope 7, one pair from the table and the point-slope formula
[tex]y-y_{1} =m(x-x_{1} )\\y-21=7(x-3)\\y=7x-21+21\\y=7x[/tex]
Therefore, an equation that models the given table is
[tex]y=7x[/tex]
