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.
- You start at point \( P = -2.25° \).
- 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.