Answers:
Domain:
![0 \le x \le 12](https://img.qammunity.org/2022/formulas/mathematics/high-school/1a3ql84pon1q6xodmkveulm74vpdh7wsac.png)
Range:
![0 \le y \le 10](https://img.qammunity.org/2022/formulas/mathematics/high-school/lco2q7dujp8c8envkwh5k5o6qwsca9gwh6.png)
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Step-by-step explanation:
The domain is the set of all possible x inputs. The x axis is along the horizontal, so x refers to the number of minutes. The smallest x can get is x = 0 and the largest is x = 12. To describe everything in between those endpoints, including both endpoints, we write
![0 \le x \le 12](https://img.qammunity.org/2022/formulas/mathematics/high-school/1a3ql84pon1q6xodmkveulm74vpdh7wsac.png)
The range is the set of all possible y outputs. The y axis is vertical so y refers to the distance from home. The smallest distance is y = 0 and the largest distance is y = 10. So we say the range is
to describe everything in between 0 and 10, including those endpoints.
Side note: 12 minutes = 12/60 = 0.2 hours. You travel 10 miles in 0.2 hours, so the speed is distance/time = 10/0.2 = 50 mph.