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

In Exercises 3134 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 func class=

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The slope across the values of the table are not the same, therefore, the table cannot be modelled by a linear equation.

How to Determine a Linear Equation Table?

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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