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 quantities in the data table are in a proportional relationship, we need to check if the ratio of Hours to Money remains constant.
Let's calculate the ratio for each pair of values:
For Hours 1 and Money 9:
Ratio = Money / Hours = 9 / 1 = 9
For Hours 2 and Money 18:
Ratio = Money / Hours = 18 / 2 = 9
For Hours 3 and Money 27:
Ratio = Money / Hours = 27 / 3 = 9
For Hours 4 and Money 36:
Ratio = Money / Hours = 36 / 4 = 9
As we can see, the ratio of Money to Hours is 9 for all values. This means that the ratio remains constant throughout the table, indicating a proportional relationship.