In Exercises 31−34, tell whether the data in the table can be modeled by a linear equation. Explain. If possible, write a linear equation that represents y as a function of x. Help with 34 ; please include a explanation. Thanks

The slope across the values of the table are not the same, therefore, the table cannot be modelled by a linear equation.
If a table can be represented by a linear equation, then the slope/rate of change between every two pairs of values on the table must be the same. If it's not, then it is not a linear equation that represents y as a function of x.
Slope/rate of change between (1, 18) and (2, 15):
Slope = 18 - 15/1 - 2
Slope =-3
Slope/rate of change between (2, 15) and (8, 9):
Slope = 15 - 9 / 2 - 8
Slope = 6/-6 =
Slope = -1
Therefore, the slope across the values of the table are not the same, therefore, the table cannot be modelled by a linear equation.
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