1. **Stating the problem:** We want to find a function with a lesser rate of change (slope) than the function $y = -\frac{5}{4}x + 5$. 2. **Recall the slope:** The slope of the given function is $m = -\frac{5}{4} = -1.25$. 3. **Understanding rate of change:** A lesser rate of change means the absolute value of the slope is smaller, so the slope should be closer to zero than $-1.25$. 4. **Examples of lesser rate of change:** - $m = -1$ (less steep than $-1.25$) - $m = -0.5$ - $m = 0$ - $m = 0.5$ 5. **Example function:** Choose $m = -1$ and keep the same intercept $b=5$ for simplicity: $$y = -1 \times x + 5 = -x + 5$$ 6. **Explanation:** This function decreases as $x$ increases but at a slower rate than the original function. **Answer:** A function with a lesser rate of change is $$y = -x + 5$$