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, 2, 3, 4 9, 18, 27, 36
To determine if the table represents a proportional relationship, we need to check if the ratio between the hours and money remains constant.
Let's calculate the ratios for each pair of hours and money:
For 1 hour and 9 money, the ratio is 9/1 = 9.
For 2 hours and 18 money, the ratio is 18/2 = 9.
For 3 hours and 27 money, the ratio is 27/3 = 9.
For 4 hours and 36 money, the ratio is 36/4 = 9.
Since the ratios for each pair are the same (9), we can conclude that the table represents a proportional relationship. The money earned is directly proportional to the number of hours worked.