A number of graphs, tables, equations and descriptions are shown below. Determine whether each situation represents a proportional relationship. Select the best explanation for your determination.

Select an answer The origin is included and the slope is constant Proportional, reason not shown The origin is not included on the line The slope changes Not proportional, reason not shown

`y = -0.5 x + 3` Select an answer No constant rate of change is evident The origin is not included on the line The origin is included and the slope is constant Not proportional, reason not shown Proportional, reason not shown

x	1	2	3	4
y	3	12	27	48

Select an answer The origin is included and there is a constant rate of change Proportional, reason not shown (0,0) is not included Not proportional, reason not shown A constant rate of change is not evident

The temperature changed at a constant rate of `-0.5` degrees every 15 minutes starting at 0 degrees Celsius. Select an answer Proportional, reason not shown No constant rate of change is evident Not proportional, reason not shown The origin is not included There is a constant proportion and (0,0) is included