The quantities in the data table are in a proportional relationship. Using the data table, Show your work and explain how you know the table represents a proportional relationship
Data table: 1, 9
2, 18
3, 27
4, 36
To determine if the table represents a proportional relationship, we need to check if the ratio between the quantities in each row is constant.
Let's calculate the ratios for each row:
For the first row: 9/1 = 9
For the second row: 18/2 = 9
For the third row: 27/3 = 9
For the fourth row: 36/4 = 9
We can see that the ratio is always 9 for each row, which means the quantities in the table are in a proportional relationship. Regardless of the specific values, as long as the ratio between the quantities remains the same, it represents a proportional relationship.