Question

select the correct answer. charlotte has been working for her company for x years. the number of years travis has been working for the same company, y years, is exactly 3 years longer than charlotte. what is the range of the relationship between x and y? a. y ≥ 0 b. y ≥ 3 c. y = 3 d. 0 ≤ y ≤ 3

Explanation:

Step1: Analyze the relationship

Let \( x \) be Charlotte's years, \( y \) be Travis's years. Given \( y = x + 3 \). Since \( x \geq 0 \) (years worked can't be negative), then \( y = x + 3 \geq 0 + 3 = 3 \). So \( y \geq 3 \).

Step2: Evaluate options

• Option A: \( y \geq 0 \) is incorrect as \( y \) starts at 3.
• Option B: \( y \geq 3 \) matches our deduction.
• Option C: \( y = 3 \) is incorrect (Travis can work more than 3 years).
• Option D: \( 0 \leq y \leq 3 \) is incorrect ( \( y \) is at least 3).

Answer:

B. \( y \geq 3 \)