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 -
1
2
3
4
Money -
9
18
27
36

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if the table represents a proportional relationship, we need to check if the ratio of Money to Hours remains constant.

Let's find the ratio for each pair of values:

1) Hours = 1, Money = 9
Ratio = Money / Hours = 9 / 1 = 9

2) Hours = 2, Money = 18
Ratio = Money / Hours = 18 / 2 = 9

3) Hours = 3, Money = 27
Ratio = Money / Hours = 27 / 3 = 9

4) Hours = 4, Money = 36
Ratio = Money / Hours = 36 / 4 = 9

As we can see, the ratio of Money to Hours is constant at 9 for each pair of values. This demonstrates a proportional relationship because the ratio remains the same throughout the table.