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. No ratio of 3 hours to $27 is not proportional
B. Yes the ratios are in a proportional relationship
C. No the ratios are not equivalent
D. No the ratio of 1 hour to $9 is not proportional
D. No the ratio of 1 hour to $9 is not proportional
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 amounts are consistent.
To calculate the ratios, we divide the money amount by the corresponding number of hours. Let's calculate the ratios for each data point:
1. Ratio for the 1st data point: 9 / 1 = 9
2. Ratio for the 2nd data point: 18 / 2 = 9
3. Ratio for the 3rd data point: 27 / 3 = 9
4. Ratio for the 4th data point: 36 / 4 = 9
Since all the ratios are equal to 9, we can see that the quantities in the data table are in a proportional relationship.
Therefore, the correct answer is B. 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 hours and money are equivalent.
Let's calculate the ratios:
Ratio for 1 hour to $9 = 1 hour / $9 = 1/9
Ratio for 2 hours to $18 = 2 hours / $18 = 2/18 = 1/9
Ratio for 3 hours to $27 = 3 hours / $27 = 3/27 = 1/9
Ratio for 4 hours to $36 = 4 hours / $36 = 4/36 = 1/9
Since all the ratios are equal to 1/9, the quantities in the data table are in a proportional relationship.
Therefore, the correct answer is:
B. Yes, the ratios are in a proportional relationship.