Question

Your school is located at (2,−1), which is 2 blocks east and 1 block south of the center of town. To get from your house to the school, you walk 5 blocks west and 2 blocks north. You can only walk along streets that are north and south or streets that are east and west. You are the center of town and decided to take the shortest path home that passes by the school. When you are at the school, what percent of the walk home remains? Please show your work.

Answer 1

The student has to walk 7 blocks to get home from the school and since they have not started walking towards home from the school yet, 100% of the walk home remains.

Step-by-step explanation:

The student is seeking to determine the percentage of their walk home from school that is remaining after reaching the school. The school is positioned at coordinates (2, -1), meaning it is 2 blocks east and 1 block south of the center of town. The student’s home is 5 blocks west and 2 blocks north from the school. To find the shortest path home that passes by the school, the student should add the distances east/west and north/south that they need to travel after leaving the school.

The student walks 5 blocks west and 2 blocks north from the school to get home. Therefore, the total number of blocks from the school to home is 5 + 2 = 7 blocks. At the school, the student has not started the walk home yet, so 100% of the walk home remains.