1. The problem asks us to compare the hourly earnings of Jace and Ariana based on their earnings equations and graph. 2. Jace's earnings are given by the equation $y = 25.2x$, where $y$ is the total earnings and $x$ is the hours worked. This means Jace earns $25.2$ dollars per hour. 3. Ariana's earnings are represented by a line passing through points $(10, 175)$ and $(20, 350)$ on the graph. To find Ariana's hourly rate, we calculate the slope of the line: $$\text{slope} = \frac{350 - 175}{20 - 10} = \frac{175}{10} = 17.5$$ This means Ariana earns $17.5$ dollars per hour. 4. To compare their hourly earnings, subtract Ariana's rate from Jace's rate: $$25.2 - 17.5 = 7.7$$ 5. Since $7.7$ is positive, Jace earns $7.7$ dollars more per hour than Ariana. **Final answer:** Jace earns 7.7 dollars per hour more than Ariana.