Hours. Money
1. 9
2. 18
3. 27
4. 36
Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship indicate why.
A. Yes, the ratios are in a proportional relationship
B. No, the ratios are not equivalent
C. No the ratio of 1 hour to $9 is not proportional
D. No, the ratio of 3 hours to $27 is not proportional
A. Yes, the ratios are in a proportional relationship
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio between hours and money is consistent throughout.
Let's calculate the ratios for each data point:
1 hour : $9 => ratio = 1/9
2 hours : $18 => ratio = 2/18 = 1/9
3 hours : $27 => ratio = 3/27 = 1/9
4 hours : $36 => ratio = 4/36 = 1/9
Since all the ratios are equal to 1/9, we can conclude that the quantities in the data table are in a proportional relationship.
Therefore, the correct answer is:
A. Yes, the ratios are in a proportional relationship
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the hours and the money remain constant.
To do this, divide the money by the corresponding number of hours for each row in the table.
For the given data:
1. For the first row (1 hour and $9), the ratio is 9/1 = 9.
2. For the second row (2 hours and $18), the ratio is 18/2 = 9.
3. For the third row (3 hours and $27), the ratio is 27/3 = 9.
4. For the fourth row (4 hours and $36), the ratio is 36/4 = 9.
Since all the ratios are equal to 9, the quantities in the data table are in a proportional relationship.
Therefore, the correct answer is A. Yes, the ratios are in a proportional relationship.