According to the information given, Travis's years of service \(y\) is exactly 3 years longer than Charlotte's years of service \(x\). This can be expressed with the equation:
\[ y = x + 3 \]
Here, we also know that:
- \(x\) represents the number of years Charlotte has worked, which cannot be negative. So, \(x \geq 0\).
- Since \(y\) is calculated as \(x + 3\), and \(x\) is non-negative, this implies that \(y\) is at least 3 (when \(x = 0\)).
Hence:
- If \(x = 0\), then \(y = 0 + 3 = 3\).
- If \(x = 1\), then \(y = 1 + 3 = 4\).
- If \(x = 2\), then \(y = 2 + 3 = 5\).
- If \(x = x\), then \(y = x + 3\) continues to increase as \(x\) increases.
Thus, \(y\) can take any value that is equal to or greater than 3 when \(x\) is equal to or greater than 0.
The relationship can be summarized as:
\[ y \geq 3 \]
Therefore, the correct answer is:
B. \(y \geq 3\).
1 answer