Using the data in the table, show your work and explain how you know the table represents a proportional relationship

Question

hours: 1,2,3,4
money: 9,18,27,36

Answer 1

To determine if the table represents a proportional relationship, we need to check if there is a constant ratio between the hours and the money.

First, let's calculate the ratio between hours and money for each entry in the table:
- For the first entry, 1 hour corresponds to $9. So the ratio is 9/1 = 9.
- For the second entry, 2 hours correspond to $18. The ratio is 18/2 = 9.
- For the third entry, 3 hours correspond to $27. The ratio is 27/3 = 9.
- For the fourth entry, 4 hours correspond to $36. The ratio is 36/4 = 9.

As we can see, the ratio between the hours and the money is always 9. This means that for every hour, the amount of money earned is 9 times the number of hours. Therefore, the table represents a proportional relationship.