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, 18, 27, 36
2
3
4
To determine if the table represents a proportional relationship, we need to see if there is a constant ratio between the values in the "Hours" column and the values in the "Money" column.
In this case, we see that for every 1 hour, the amount of money is increased by 9, 18, 27, or 36. This means that the ratio between the money and the hours is constant.
To find the constant ratio, we can divide the money by the hours:
For 1 hour: 9/1 = 9
For 2 hours: 18/2 = 9
For 3 hours: 27/3 = 9
For 4 hours: 36/4 = 9
As we can see, the ratio between the money and the hours is always 9. This constant ratio indicates that the values in the table represent a proportional relationship.