1. **State the problem:** We are given Erin's running distance equation $y=2.8x$ and Arianna's running distance graph, which is a straight line from approximately $(0,0)$ to $(8,20)$. We need to determine who runs faster and by how much in meters per second. 2. **Find Arianna's speed:** Since Arianna's distance-time graph is a straight line, her speed is the slope of the line. The slope $m$ is given by $$m=\frac{\Delta y}{\Delta x}=\frac{20-0}{8-0}=\frac{20}{8}=2.5.$$ So, Arianna runs at $2.5$ meters per second. 3. **Compare speeds:** Erin's speed from the equation is $2.8$ meters per second. Arianna's speed is $2.5$ meters per second. 4. **Determine who is faster:** Erin runs faster because $2.8 > 2.5$. 5. **Calculate how much faster Erin runs:** $$2.8 - 2.5 = 0.3.$$ Erin runs $0.3$ meters per second faster than Arianna. **Final answer:** Erin runs faster by $0.3$ meters per second.