To model the situation, we can define the following variables:

• Let $x$ represent the number of hours worked babysitting.
• Let $y$ represent the number of hours worked as a pet sitter.

Constraints:

1. You can work at most 30 hours: $x + y \leq 30$

2. You need to earn at least $95: $10x + 7y \geq 95$

3. You cannot work negative hours in either job: $x \geq 0, \quad y \geq 0$

System of Inequalities:

1. & \quad x + y \leq 30 \\ 2. & \quad 10x + 7y \geq 95 \\ 3. & \quad x \geq 0 \\ 4. & \quad y \geq 0 \end{aligned}$$ This system of inequalities represents the constraints on your working hours and income. Would you like to graph this system or explore possible solutions? --- ### 5 Related Questions: 1. How many hours should you work as a babysitter to meet your minimum income if you only work in babysitting? 2. Can you meet your goal by only working as a pet sitter? If so, how many hours? 3. If you work 15 hours babysitting, how many hours do you need to work as a pet sitter? 4. What is the maximum amount of money you could earn if you work the full 30 hours? 5. What combinations of babysitting and pet sitting maximize your earnings? **Tip:** Start by solving for extreme cases (e.g., all babysitting or all pet sitting) to quickly check feasibility!