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Cam went to the pumpkin patch. For every 6 apples (y) he picks, he can also pick 4 pumpkins (x). What is the slope of the graph

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Final answer:

Cam can pick 2 pumpkins for every 3 apples, which means the slope of the graph representing this relationship is 2/3. The slope is calculated as the ratio of the rise (pumpkins) over the run (apples) in their respective quantities.

Step-by-step explanation:

In the scenario described, Cam can pick 4 pumpkins (x) for every 6 apples (y) he picks. Therefore, the relationship between the number of apples (y) and the number of pumpkins (x) can be expressed as a linear equation with a slope.

The slope of a line can be determined using the formula slope (m) = rise/run. In this case, the rise corresponds to the increase in the number of pumpkins, and the run corresponds to the increase in the number of apples picked. Therefore, for every 6 apples (the run), Cam picks 4 pumpkins (the rise), giving us a slope of m = 4/6 which can be simplified to m = 2/3.

The slope indicates that for every increase of 3 apples picked, there is an increase of 2 pumpkins picked on the graph. This ratio remains constant along the line representing the relationship between pumpkins and apples picked.

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