Given the proportional graph showing the relationship between time and amount of snow accumulated, the statements that are TRUE are: B and C.
Note the following relating to the graph given:
- The graph shows a relationship between time in hours (x) and snow accumulation in inches (y).
- It is a proportional graph since it passes through the origin (0, 0).
- Using the ordered pair, (4, 1), unit rate = y/x = 1/4 = 0.25
In summary, the graph shows the different total amount of snow accumulated (y) for each given time (x).
Any ordered pair on the graph will suggest the total snow accumulated at that given time (x, y).
Thus:
Statement A is NOT TRUE:
Rather, (2, 0.5) on the graph means after 2 hours, the total amount of snow that have accumulated is 0.5 inch.
Statement B is TRUE:
(3, 0.75) on the graph means after 3 hours, the total amount of snow that have accumulated is 0.75 inch.
Statement C is TRUE:
(1, 0.25) on the graph means after 1 hour, the total amount of snow that have accumulated is 0.25 inch. This represents the unit rate.
Statement D is NOT TRUE:
Rather, (4, 1) on the graph means after 4 hours, the total amount of snow that have accumulated is 1 inch. This is not the unit rate.
Therefore, given the proportional graph showing the relationship between time and amount of snow accumulated, the statements that are TRUE are: B and C.
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