In Future City, a virtual reality adventure game, you start at location P = −2.25° on the city's coordinate map. Your first mission is to reach the power-up station located at point P + d = 5.75° to gather resources. The game's hint tells you to move ∣d|degrees to the right to reach the station.How many degrees, d, did your character move to get to the power-up station? Explain how you figured out the number of degrees, using a number line, or by another method. 2 pts (NS.1c, d)

1 answer

To determine how many degrees d your character moved to reach the power-up station, we need to start from your initial position P and find the distance d that would take you to the power-up station.

  1. You start at point P=2.25°.
  2. The power-up station is at point P+d=5.75°.

We can express the relationship between P, d, and the power-up station as: P+d=5.75°

Substituting the value of P: 2.25°+d=5.75°

To find d, we need to isolate it: d=5.75°+2.25° d=8.00°

Now we need to check the direction of movement. The hint mentions to move |d| degrees to the right, which indicates that d is positive. So, moving 8.00° to the right from 2.25° lands you at 5.75°:

Using a number line:

  • Start at 2.25°.
  • Move 8 degrees to the right, reaching 5.75°.

Therefore, the character moved d=8.00° to reach the power-up station.