Based on the coordinates of the position of each of the locations with respect to the center of town, the total distance that Jordan ran is 6 miles.
In Mathematics and Physics, distance is the amount of ground that is travelled by a physical object or body over a particular period of time and speed, irrespective of its direction, starting point or ending point.
Based on the coordinates of the position of each of the locations, we would determine the absolute difference between each of them as follows;
Distance HB = |1 - (-3/4)| = 7/4 mile.
Distance BL = |-1/4 - 1/2| = 3/4 mile.
Distance LP = |1 - 1/2| = 1/2 mile.
Distance PC = |-1/4 + 3/4| = 1/2 mile.
Distance CS = |1/2 + 3/4| = 5/4 mile.
Distance SH = |-3/4 - 1/2| = 5/4 mile.
Next, we would add all of the distances together as follows;
Total distance = 7/4 + 3/4 + 1/2 + 1/2 + 5/4 + 5/4
Total distance = 6 miles.
Complete Question:
Jordan started at her home at point H. She ran to the bank (B), the library (L), the post office (P), the cafe (C), her school (S),, and then back to her home, as shown. The coordinates represent the position, in miles, of each of these locations with respect to the center of town, which is located at the origin. What is the total distance that Jordan ran?