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------------------------------------------------ Determine the rule of the linear function \( f(x) \) given the following values:

\[
\begin{align}
f(5) &= 22, \\
f(6) &= 44, \\
f(7) &= 66, \\
f(8) &= 88.
\end{align}
\]

Use the given values to find the linear equation.

To find the linear equation, we need to determine the slope and y-intercept. Looking at the given rule, we can observe that the values of f(x) increase by 221 as x increases by 1. This indicates that the slope of the line is 221.

Now, we need to find the y-intercept. From the given rule, we can see that when x is 0, f(x) is 447. Therefore, the y-intercept is 447.

Combining the slope and y-intercept, we can write the linear equation as f(x) = 221x + 447. This equation represents the given rule, where f(x) is determined by multiplying x by 221 and adding 447 to it.

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