Question

It is recommended that you work this out on graph paper to help answer the questions. Sean plots the locations of 4 places on a coordinate grid as given below (It is recommended that you work this out on graph paper to help answer the questions.): His house is at (−4, 5). His school is at (−4, 3). The community center is at (6, 3). The grocery store is at (−4, −9). Part A: Use absolute values to calculate the distance in units from Sean's house to his school. Show your work. (4 points) Part B: Is the total distance from Sean's house to the school to the grocery store greater than the total distance from Sean's house to the school to the community center? Justify your answer. (6 points)

Answer 1

A) 2 units
B) yes

For A) |5-3|=|2|=2 is the distance from his house to school.

For B)
The distance from his house to school is 2 units; the distance from school to the grocery store is |3--9|=|12|=12.  The total distance is 2+12 = 14.

The distance from his house to school is 2 units; the distance from school to the community center is |-4-6|=|-10|=10.  The total distance is 2+10 = 12.

The distance from the house to the school to the grocery store is greater.