It is recommended that you work this out on graph paper to help answer the questions. Nina 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.): Her house is at (−4, 10). Her school is at (−4, 3). The community center is at (2, 3). The grocery store is at (−4, −6). Part A: Use absolute values to calculate the distance in units from Nina's house to her school. Show your work. (4 points) Part B: Is the total distance from Nina's house to the school to the grocery store greater than the total distance from Nina's house to the school to the community center? Justify your answer. (6 points)
Formula of finding the distance : absolute value (x2-x1)^2 + (y2-y1)^2 Distance from house to school : (Under Absolute value) (x2-x1)^2 + (y2-y1)^2 ( -4 - (-4) )^2 + (10 - 3 )^2 = 0 + 49 = Radical 49 = 7 Distance from house to grocery store : (using the same method) you get = Radical 1200 = 60 Distance from house to community center : (using the same method) = Radical 85 Yes, the distance from her house to grocery store is greater then to community center
