Question

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.

Hours Money ($)
1 9
2 18
3 27
4 36

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if the values in the data table represent a proportional relationship, we need to check if the ratio between the hours and money remains constant.

By dividing each money value by its respective hour value, we get:

Hour 1: 9 / 1 = 9
Hour 2: 18 / 2 = 9
Hour 3: 27 / 3 = 9
Hour 4: 36 / 4 = 9

As we can see, the ratio between the money and hours is consistently 9. This means that for every hour, the money earned is 9 times that hour. Since the ratio is the same for all values, we can conclude that the data table represents a proportional relationship.