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 \(\boxed{y = 7x - 6}\).