Determine if the relation represents a linear function.
A. The relationship between the side length and perimeter of a square.
B. The relationship between the side length and area.
1. Yes, it’s a linear function
2. No, it’s not a linear function
3. Only A represents a linear function
4. Only B represents a linear function
The correct answer is 3. Only A represents a linear function.
Explanation:
A. The relationship between the side length and perimeter of a square is linear because the perimeter (P) can be expressed as P = 4s, where s is the side length. This equation shows a constant rate of change.
B. The relationship between the side length and area is not linear. The area (A) is given by the formula A = s², which shows that the area increases with the square of the side length, indicating a nonlinear relationship.
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