1. The problem asks to find which function has a lesser rate of change (slope) than the function represented by the table. 2. First, find the slope of the function from the table. The slope formula is: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. Using points (0, 2) and (4, -5): $$m = \frac{-5 - 2}{4 - 0} = \frac{-7}{4} = -\frac{7}{4}$$ 4. The slope of the table's function is $-\frac{7}{4}$. 5. Now, compare this slope to the slopes of the given options: - A: $\frac{1}{4}$ (positive slope) - B: $-\frac{7}{4}$ (same as table) - C: slope from (0,6) to (6,0): $$m = \frac{0 - 6}{6 - 0} = \frac{-6}{6} = -1$$ - D: slope approximately $-\frac{7}{4}$ (steeper negative slope) 6. A lesser rate of change means the absolute value of the slope is smaller than $\frac{7}{4}$. 7. Among the options, option C has slope $-1$, which is less steep than $-\frac{7}{4}$. 8. Therefore, the function in option C represents a function with a lesser rate of change than the table's function. Final answer: Option C.