Question

One day, Alonso decided to keep a record of the time he spent walking and the distance he walked. Which of the following are true about the data shown? Check all that apply.

A 2-column table with 4 rows. Column 1 is labeled Time (hours) with entries 0, 1, 2, 3. Column 2 is labeled Distance (miles) with entries 1, 4, 7, 10.

The points would lie on a straight line that passes through the origin, so the relationship is proportional.
The points would not lie on a straight line, so the relationship is not proportional.
The points would lie on a straight line that does not pass through the origin, so the relationship is not proportional.
The equation y = 4x represents the data.
The equation y = 4x does not represent the data

Answer 1

Correct choices:

- The points would lie on a straight line that does not pass through the origin, so the relationship is not proportional.
- The equation y = 4x does not represent the data.

Reason: The data follow y = 3x + 1 (slope 3, y-intercept 1), so they are collinear but do not pass through (0,0); thus not proportional. y = 4x does not match the data (e.g., at x=2, y would be 8, but the data give 7).