Question

Makayla plotted two points, (0, 0) and (3, 33), on a coordinate grid. Noah says that she is graphing a proportional relationship. Is Noah correct? Explain.​

Answer 1

Noah is correct.

Explanation:

Noah is correct, a proportional relationship can be formed by observing two conditions:

1) Knowing at least two distinct collinear points on coordinate grid.

2) Ratio between dependent and independent variables must be the same on each point.

3) Relationship must include origin.

Makayla used two points: (0, 0) and (3, 33). Therefore, she observed all conditions described above:

Condition 1: Makayla plotted (0,0) and (3,33). According to Geometry, two distinct point on coordinate grid are always collinear.

Condition 2: The proportionality ratio is:

`k = (33)/(3)`

`k = 11`

Condition 3: The relationship included origin: (0, 0).