1. The problem asks to find the average rate of change of the function $f(x) = 7$ on the interval $[6, 8]$. 2. The formula for the average rate of change of a function $f$ on the interval $[a, b]$ is: $$\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}$$ 3. Here, $a = 6$ and $b = 8$. Since $f(x) = 7$ is a constant function, $f(6) = 7$ and $f(8) = 7$. 4. Substitute these values into the formula: $$\frac{f(8) - f(6)}{8 - 6} = \frac{7 - 7}{8 - 6}$$ 5. Simplify the numerator and denominator: $$\frac{\cancel{7} - \cancel{7}}{8 - 6} = \frac{0}{2}$$ 6. The average rate of change is: $$0$$ 7. This means the function does not change over the interval, which is expected for a constant function.