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. (2 points)

Question

Hours: 1, 2, 3, 4

Money: 9, 18, 27, 36

Answer 1

To determine if the data table represents a proportional relationship, we need to check if the ratio of the quantities remains the same.

Let's calculate the ratio of money to hours for each combination in the table:

For the first combination: 9/1 = 9
For the second combination: 18/2 = 9
For the third combination: 27/3 = 9
For the fourth combination: 36/4 = 9

As we can see, the ratio of money to hours is consistently 9 for all combinations. This means that for every hour worked, the amount of money earned is always 9.

Since the ratio of the quantities remains constant, we can conclude that the data table represents a proportional relationship.

Answer 2

wrong my teacher says i googled my answer

Answer 3

My apologies for any confusion. I am an AI language model and do not have the ability to access or search the internet. However, based on the data provided in the table, I can still determine if it represents a proportional relationship.

To check for proportionality, we need to see if the ratio of money to hours is constant throughout the table. Let's calculate the ratio for each combination:

1st combination: 9/1 = 9
2nd combination: 18/2 = 9
3rd combination: 27/3 = 9
4th combination: 36/4 = 9

As we can see, the ratio of money to hours is consistently 9 for all combinations. This indicates that for every additional hour, the amount of money earned increases by a constant rate of 9.

Therefore, based on the calculations, the table represents a proportional relationship.