Hours 1 2 3 4 Money ($) 9 18 26 36

Question

Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why.

Answer 1

To determine if the quantities in the data table are in a proportional relationship, we can check if the ratio of the Money ($) to the Hours remains constant.

The ratio between the Money ($) and the Hours is as follows:
- Between hours 1 and 2: 18/9 = 2
- Between hours 2 and 3: 26/18 ≈ 1.44
- Between hours 3 and 4: 36/26 ≈ 1.38

Since the ratio of the Money ($) to the Hours is not constant, the quantities in the data table are not in a proportional relationship.