Question

Points A(3, 1), B(3, 5), C(11, 7), D(9, 1) and E(7, 3) represent snow shelters in the Blackburn National Forest. These snow shelters are illustrated in the following coordinate axes.

Horizontal scale: 1 unit represents 1 km.
Vertical scale: 1 unit represents 1 km.
Which of the following snow shelters is located farthest to the west?
A) A
B) B
C) C
D) D

Answer 1

Point A(3, 1) is located farthest to the west. By examining the coordinates (x, y) of each point, the one with the smallest x-coordinate is identified as being farthest to the west. So, the option A is correct.

Step-by-step explanation:

In order to establish the snow shelter situated farthest to the west among the given points A, B, C, D, and E, a straightforward comparison of their x-coordinates suffices.

By examining the coordinates (x, y) of each point, the one with the smallest x-coordinate is identified as being farthest to the west.

In this case, with A(3, 1), B(3, 5), C(11, 7), D(9, 1), and E(7, 3), it becomes evident that point A possesses the smallest x-coordinate of 3.

Consequently, point A emerges as the snow shelter located farthest to the west.

This approach streamlines the determination by focusing solely on the horizontal positioning, providing a clear and efficient method for discerning the westernmost point among the specified snow shelters.

Hence,the option A is correct, Point A(3, 1) is located farthest to the west.