To determine if the table represents a proportional relationship, we need to check if there is a constant ratio between the two quantities.
To find the ratio, we divide the money by the corresponding hours for each data point:
For the first data point, the ratio is 9/1 = 9.
For the second data point, the ratio is 18/2 = 9.
For the third data point, the ratio is 27/3 = 9.
For the fourth data point, the ratio is 36/4 = 9.
Since the ratio is always 9 for each data point, we can conclude that the table represents a proportional relationship. All the values on one column (hours) are multiplied by the same constant (9) to get the corresponding values in the other column (money).
The quantities in the data table are in proportional relationships using the data in the table, show your work, and explain how you know that the table represents a proportional relationship SHOW YOUR WORK
Hours money
1 9
2 18
3 27
4 36
1 answer