$$ \begin{array}{|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 \\ \hline \\ y & \frac{12}{5} & \frac{17}{5} & \frac{22}{5} & \frac{27}{5} & \frac{32}{5} \\ \\ \hline \end{array} $$

Which of the following equations related \(y\) to \(x\) for the values in the table above?

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We can test our models, but we should first figure out if the table represents a linear or an exponential model. From the table, choosing a few pairs:

This represents a rate of change of \(1\), or a slope of \(1\) in a linear equation. Only one answer choice represents this.