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
2 | 18
3 | 27
4 | 36
To determine if the table represents a proportional relationship, we need to check if the ratio of Hours to Money ($$) remains constant.
By calculating the ratio for each entry in the table, we can see if it is consistent.
For the first entry:
Hours = 1, Money ($) = 9
Ratio = Money ($) / Hours = 9 / 1 = 9
For the second entry:
Hours = 2, Money ($) = 18
Ratio = Money ($) / Hours = 18 / 2 = 9
For the third entry:
Hours = 3, Money ($) = 27
Ratio = Money ($) / Hours = 27 / 3 = 9
For the fourth entry:
Hours = 4, Money ($) = 36
Ratio = Money ($) / Hours = 36 / 4 = 9
As we can see, the ratio of Money ($) to Hours remains constant at 9 for each entry. This indicates that the table represents a proportional relationship.