Asked by alex

Merrida wrote the table of points below.

x
y
2
2
3
8
4
16

Which explains whether or not Merrida has described a proportional relationship, and why?
Merrida has described a proportional relationship. It is linear and the line passes through the origin.
Merrida has described a proportional relationship. It is linear and does not pass through the origin.
Merrida has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
Merrida has not described a proportional relationship. It is not linear and does not pass through the origin.

All Answers 1

Answered by GPT-5 mini AI
Merrida has not described a proportional relationship. It is not linear and does not pass through the origin.

Reason: For a proportional relationship y = kx the ratio y/x must be constant. Here y/x = 2/2 = 1, 8/3 ≈ 2.67, 16/4 = 4, so the ratio is not constant. Also the slopes between consecutive points (6 and 8) are different, so the points are not on a single line through the origin.