The relationship described indicates that Travis's years of service (y) is 3 years longer than Charlotte's years of service (x). This can be expressed with the equation:
\[ y = x + 3 \]
From this relationship:
1. Since "years worked" cannot be negative, Charlotte's years (x) must be greater than or equal to 0, which implies:
- \( x \geq 0 \)
2. If we substitute \( x = 0 \) into the equation, we get:
- \( y = 0 + 3 = 3 \)
3. As x increases, y will also increase. Therefore, the minimum value for y is 3, and it can continue to grow indefinitely as x increases.
Thus, the correct range for y based on the relationship with x is:
- The minimum value of y is 3 (when x is 0).
- There is no maximum limit for y since there is no upper constraint on x.
The only relevant constraint given is \( y \geq 3 \).
Based on this analysis, the correct answer is:
**B. y ≥ 3**