The quantities in the data table are in a proportional relationship. Using the data in the table, show your work and explain how you know the table represents a proportional relationship.
To determine if the data in the table represents a proportional relationship, we need to check if multiplying one quantity by a constant results in the other quantity.
Let's take a look at the data in the table:
Quantity 1 (x) | Quantity 2 (y)
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10 | 5
20 | 10
30 | 15
To determine if these quantities are in a proportional relationship, we'll calculate the ratio (y / x) for each pair:
Ratio (y / x)
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5 / 10 = 0.5
10 / 20 = 0.5
15 / 30 = 0.5
The ratio of all the pairs is the same, which is 0.5 in this case. This indicates that multiplying one quantity (x) by a constant (0.5) results in the other quantity (y).
Therefore, we can conclude that the data in the table represents a proportional relationship.