Does the data in this table represent a proportional relationship?
Time 1
Water used 5
Time 2
Water used 10
Time 3
Water used 15
Time 7
Water used 35
Time 10
Water used 50
3 answers
Yes, the data in this table represents a proportional relationship. As the time increases, the water used also increases, and the ratio between time and water used remains constant.
is it because the ratios of all data points are equivalent or because the unit rate is 1
It is because the ratios of all data points are equivalent. In this case, if we divide the water used by the time for each data point, we get a consistent ratio of 5/1, indicating a proportional relationship. The unit rate of 1 is not necessary for a relationship to be proportional; it is the consistency in the ratio that determines proportionality.