Look at this table: \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 3 & 15 \\ \hline 4 & 22 \\ \hline 5 & 29 \\ \hline 6 & 36 \\ \hline 7 & 43 \\ \hline \end{tabular} Write a linear function $(y=m x+b)$ or an exponential function $\left(y=a(b)^{x}\right)$ that models the data. \[ y= \] Submit

Step 1 ：The given table seems to represent a linear relationship between x and y. This is because the difference between consecutive y-values is constant (7). In a linear function, this constant difference corresponds to the slope (m) of the line.

Step 2 ：The y-intercept (b) can be calculated by rearranging the linear equation to solve for b (b = y - mx) and substituting any pair of x and y values from the table.

Step 3 ：The slope (m) of the line is 7 and the y-intercept (b) is -6. Therefore, the linear function that models the data is y = 7x - 6.

Step 4 ：Final Answer: The linear function that models the data is \(\boxed{y = 7x - 6}\).