Question

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
Hours money
1. 9
2. 18
3. 27
4. 36

Answer 1

To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio between the hours and the money earned remains the same.

Let's calculate the ratio for each set of data:

For 1 hour, the amount of money earned is 9.
Ratio for 1 hour: 9/1 = 9

For 2 hours, the amount of money earned is 18.
Ratio for 2 hours: 18/2 = 9

For 3 hours, the amount of money earned is 27.
Ratio for 3 hours: 27/3 = 9

For 4 hours, the amount of money earned is 36.
Ratio for 4 hours: 36/4 = 9

As we can see, the ratio between the hours and the money earned is consistently 9:1. This indicates a constant ratio, which means that the table represents a proportional relationship.