Use the table to answer the question the table says ours is One money is nine hours is two monies 18 hours three money 27 hours for money 36 determine if the quantities in the table data are in a proportional relationship if they are not in a proportional relationship indicate why is it no the ratio of three hours to $27 is not proportional no the ratio of one hour to nine dollars is not proportional or no the ratios are not equivalent Last yes the ratios are in a proportional relationship
The quantities in the table are in a proportional relationship. This is evident from the fact that as the number of hours increases by a factor of 3 (from 9 to 27 to 36), the amount of money also increases by the same factor of 3 (from 1 to 2 to 3). This means that the ratio of hours to money remains constant, which is a characteristic of a proportional relationship. So, the correct answer is "yes, the ratios are in a proportional relationship."
To determine if the quantities in the table data are in a proportional relationship, we need to check if the ratios between the values are equal.
Let's analyze the given table data:
1 money is 9 hours
2 monies is 18 hours
3 monies is 27 hours
4 monies is 36 hours
To determine if the ratios are equal, we should check if the ratio of money to hours remains consistent throughout the table.
For example, we can compare the ratio of money to hours for different rows:
1 money to 9 hours gives a ratio of 1:9
2 monies to 18 hours gives a ratio of 2:18, which simplifies to 1:9
3 monies to 27 hours gives a ratio of 3:27, which also simplifies to 1:9
4 monies to 36 hours gives a ratio of 4:36, which simplifies to 1:9
Since the ratios between money and hours remain consistent throughout the table (all of them simplify to 1:9), we can conclude that the quantities in the table data are indeed in a proportional relationship.
Therefore, the answer is: Yes, the ratios are in a proportional relationship.
To determine if the quantities in the table data are in a proportional relationship, we need to check if the ratios between hours and money are equivalent for all the data points.
Let's calculate the ratios for each row of the table:
For the first row:
Ratio = 2 monies / 9 hours = 2/9
For the second row:
Ratio = 3 monies / 18 hours = 3/18 = 1/6
For the third row:
Ratio = 4 monies / 27 hours = 4/27
For the fourth row:
Ratio = 4 monies / 36 hours = 4/36 = 1/9
As we can see, the ratios are not equivalent for all the data points. Therefore, the quantities in the table data are not in a proportional relationship.
Specifically, the ratio of three hours to $27 is not proportional because the ratio is not the same as the ratios determined in the other rows. Similarly, the ratio of one hour to nine dollars is not proportional because it does not follow the pattern of the other ratios.
Hence, the answer is "No, the ratios are not in a proportional relationship".