The problem asks whether the given table is proportional or not. The table contains two pairs of values: (1, 8) and (1, 150).

AlgebraProportionalityRatiosLinear Relationships
2025/4/16

1. Problem Description

The problem asks whether the given table is proportional or not. The table contains two pairs of values: (1, 8) and (1, 150).

2. Solution Steps

A table represents a proportional relationship if the ratio between the yy values and the xx values is constant.
In other words, if yx=k\frac{y}{x} = k for all pairs (x,y)(x, y) in the table, then the table is proportional. Here, kk is called the constant of proportionality.
In our case, the pairs are (1, 8) and (1, 150).
For the first pair (1, 8), the ratio is 81=8\frac{8}{1} = 8.
For the second pair (1, 150), the ratio is 1501=150\frac{150}{1} = 150.
Since 81508 \neq 150, the ratio is not constant.

3. Final Answer

Non-Proportional

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