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)

9514 1404 393

  A. 7 units

  B. yes, 3 units farther

Step-by-step explanation:

Part A: The distance is the difference of y-coordinates:

  d = |3 -10| = |-7| = 7

The distance from Nina's house to her school is 7 units.

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Part B:

For both trips, the distance from Nina's house to the school is the same, so the question can be answered by looking at the distances from school to the community center, and from school to the grocery store.

The distance from the school to the community center is the difference of x-coordinates: 2 -(-4) = 6.

The distance from the school to the grocery store is the difference of y-coordinates: 3 -(-6) = 9. This is more than the distance to the community center.

The total distance from Nina's house to the grocery is greater than that from her house to the community center.