Question

Which of the following includes the input-output pairs (2 4) and (3 8)?

a) y = x + 2
b) y = 2x
c) y = 2x + 1
d) y = x^2

Answer 1

The equation that includes the input-output pairs (2, 4) and (3, 8) is y = 2x.

Step-by-step explanation:

The input-output pairs (2, 4) and (3, 8) can be represented by the equation y = 2x.

Let's check each option:

1. y = x + 2: For x = 2, y = 4. However, for x = 3, y = 5, not y = 8.
2. y = 2x: For x = 2, y = 4. For x = 3, y = 6, not y = 8.
3. y = 2x + 1: For x = 2, y = 5. However, for x = 3, y = 7, not y = 8. Hence, this equation does not include the input-output pairs mentioned.
4. y = x^2: For x = 2, y = 4. However, for x = 3, y = 9, not y = 8.

Only option c) y = 2x includes the input-output pairs (2, 4) and (3, 8). Therefore, the correct answer is c).