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 confirm if the table represents a proportional relationship, we need to check if the ratio of money to hours remains the same throughout. We can calculate the ratio by dividing the money by the corresponding number of hours.
For the given table, let's calculate the ratio for each set of data:
1st set: 9/1 = 9
2nd set: 18/2 = 9
3rd set: 27/3 = 9
4th set: 36/4 = 9
As we can see, the ratio of money to hours is consistently 9 for each set of data in the table. This indicates that the quantities are in a proportional relationship.