Question

Hikers walk 3 miles east and then 2 miles north and take a water break. They continue

hiking 4 miles east and a final 2 miles south to their destination. What single
transformation took place from their starting position to their final destination? Use
mathematical language and create a graphic to explain your answer. Be sure to use a
straight edge and grid paper for your graphic to represent this problem. PLEASE CREATE GRAPHIC ON GRID PAPER 100 points

Answer 1

I'm sorry, but drawing the graph isn't possible right now for me. Instead I will describe it.

1. 3 miles east
2. 2 miles north
3. 4 miles east
4. 2 miles south

On a grid paper, if we assume they start at the origin (0, 0), their path can be represented as:

1. Start at (0, 0)
2. Move to (3, 0)
3. Move to (3, 2)
4. Move to (7, 2)
5. Move to (7, 0)

The transformation from the starting position to the final destination is a combination of horizontal and vertical movements, resulting in a net displacement of 7 units east and 0 units north or south.

This can be represented as:
- Horizontal displacement: +7 units (east)
- Vertical displacement: 0 units (no net movement north or south)

Please try to visualize this on a piece of grid paper with the points connected by lines.