Question

An archer stands 60 meters (m) from a target. She launches an arrow, and it lands 3 centimeters (cm) from the bull's-eye. The archer changes her position to 40 m from the target, and her next arrow lands 2 cm from the bull's-eye. She changes her position to 20 m, and her next arrow lands 1 cm from the bull's-eye. Which points describe the situation when the archer stands at 40 m?

Let the £ -coordinate be the archer's distance from the target in meters, and let the y-coordinate be the arrow's distance from the bull's- eye in centimeters.
a.(2,40)
b.(40,3)
c.(60,40)
d.(40,2)

Answer 1

The coordinates that describe the situation when the archer stands at 40 meters from the target are (40, 2), indicating the archer's distance and the arrow's nearness to the bull's-eye respectively. Option D is correct.

Step-by-step explanation:

The points that describe the situation when the archer stands at 40 m from the target are (40, 2). Here, the x-coordinate represents the archer's distance from the target in meters, and the y-coordinate represents the arrow's distance from the bull's-eye in centimeters.

In the scenario provided, when the archer is 40 m away, the arrow lands 2 cm from the bull's-eye, thus the correct coordinates reflecting this situation are option d.(40,2).

The situation when the archer stands at 40 m is described by the point (40,2). This means that when the archer is standing 40 m from the target, her arrow lands 2 cm from the bull's-eye. This point corresponds to option d, which is the correct answer.