Question

Look at the table and choose “true” or “false”.

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(5 points)
True False
This table shows a proportional relationship.


This table shows a linear relationship.


This table shows an increasing relationship.


This table shows a constant rate of change.


This table represents a function.


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Answer 1

I don’t see the table — can you paste or describe the x and y values? I can’t answer true/false without them.

While you paste it, here’s a quick checklist you can use to decide each item:

- Proportional relationship: true if y = kx for some constant k (equivalently y/x is the same for every row and the line would pass through the origin).
- Linear relationship: true if the rate of change (slope) (y2 − y1)/(x2 − x1) is the same between every pair of successive rows.
- Increasing relationship: true if y gets larger as x gets larger for every increase in x.
- Constant rate of change: same as linear — the differences (or slopes) between successive rows are equal.
- Represents a function: true if each x-value corresponds to exactly one y-value (no x is paired with two different y’s).

If you paste the table I’ll compute the checks and answer true/false for each statement.