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
To determine if the data table represents a proportional relationship, we need to check if the ratio of money to hours is constant.
Calculating the ratio for each data point:
For the first row:
Money: 9, Hours: 1
Ratio: 9/1 = 9
For the second row:
Money: 18, Hours: 2
Ratio: 18/2 = 9
For the third row:
Money: 27, Hours: 3
Ratio: 27/3 = 9
For the fourth row:
Money: 36, Hours: 4
Ratio: 36/4 = 9
As we can see, the ratio of money to hours is always 9. This means that the values in the data table are in a proportional relationship.