1 12
2 26
3 30
4 48
Determine if the quantities in the data table are in a proportional relationship. If they do not have a proportional relationship, indicate why.
A: no you cant bike 12 miles in a hour
B: no none of the ratios have equivalence
C: no not all of the ratios are proportional or have equivalence
D: yes this data table has a proportional relationship
B: no none of the ratios have equivalence
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the values are equivalent for each pair.
Let's compare the ratios for each pair:
1) Ratio between 2 and 1: 26/12 = 13/6
2) Ratio between 3 and 2: 30/26 = 15/13
3) Ratio between 4 and 3: 48/30 = 8/5
Since the ratios are not equivalent for each pair, it means that the quantities in the data table do not have a proportional relationship.
Therefore, the correct answer is C: no, not all of the ratios are proportional or have equivalence.
To determine if the quantities in the data table have a proportional relationship, we need to check if the ratios between each pair of values are equivalent. Let's calculate the ratios:
- Ratio between 1 and 2: 12/26 = 0.4615...
- Ratio between 2 and 3: 26/30 = 0.8667...
- Ratio between 3 and 4: 30/48 = 0.625
Since the ratios are not equivalent, we can conclude that the quantities in the data table do not have a proportional relationship. Therefore, the correct answer is C: no, not all of the ratios are proportional or have equivalence.