1. **State the problem:** Daniel has two income options: hourly pay at 10 per hour and a salary of 110 per day. We need to write equations for each, graph the relations, and decide which is better. 2. **Write the equation for hourly pay:** Let $h$ be hours worked and $I$ be income. Since Daniel earns 10 per hour, the income is: $$I = 10h$$ This means income increases linearly with hours worked. 3. **Write the equation for salary:** The salary is fixed at 110 per day, regardless of hours worked. So the income equation is: $$I = 110$$ This is a constant function. 4. **Graph the relations:** - The hourly pay graph is a line starting at $(0,0)$ with slope 10. - The salary graph is a horizontal line at $I=110$. 5. **Compare the two:** - To find when hourly pay equals salary, set $10h = 110$. - Solve for $h$: $$h = \frac{110}{10} = 11$$ - If Daniel works more than 11 hours, hourly pay exceeds salary. - If he works less than 11 hours, salary is better. 6. **Decision:** If Daniel plans to work fewer than 11 hours, taking the salary is wise. If he works more, hourly pay is better. **Final answers:** A. $I = 10h$ B. $I = 110$ C. Graph lines $I=10h$ and $I=110$ on the same axes. D. Deciding against salary is wise if Daniel expects to work more than 11 hours; otherwise, salary is better.