1 hour = 9 dollars made
2 hours = 18 dollars made
3 hours= 27dolalrs made
4 hours = 36 dollars made
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.
To determine if the data table represents a proportional relationship, we need to check if there is a constant ratio between the quantities. Let's calculate the ratio between the hours worked and the dollars made:
For 1 hour, the dollars made are 9 dollars.
9 dollars divided by 1 hour equals 9 dollars/hour.
For 2 hours, the dollars made are 18 dollars.
18 dollars divided by 2 hours equals 9 dollars/hour.
For 3 hours, the dollars made are 27 dollars.
27 dollars divided by 3 hours equals 9 dollars/hour.
For 4 hours, the dollars made are 36 dollars.
36 dollars divided by 4 hours equals 9 dollars/hour.
As we can see, the ratio between the hours worked and the dollars made is always 9 dollars/hour. This indicates that the quantities in the data table are in a proportional relationship. Each time the number of hours worked increases by 1, the amount of money made also increases by 9 dollars.