To determine which representation shows a proportional relationship between \( x \) and \( y \), we need to check if the ratios \( \frac{y}{x} \) are consistent for all pairs in the given data sets.
Let's analyze each option:
A
- \( \frac{11}{22} = \frac{1}{2} \)
- \( \frac{55}{66} = \frac{5}{6} \)
- \( \frac{16}{17} \) (not a simple fraction)
- \( \frac{22}{23} \) (not a simple fraction)
Not all ratios are equal, so A is not proportional.
B
- \( \frac{77}{44} = \frac{7}{4} \)
- \( \frac{1313}{77} \) (not a simple fraction)
- \( \frac{1717}{99} \) (not a simple fraction)
- \( \frac{5151}{2626} \) (not a simple fraction)
Not all ratios are equal, so B is not proportional.
C & D
It appears options C and D did not have numerical pairs provided, so we cannot evaluate them.
Conclusion
From the options presented, none of the representations A or B show a proportional relationship. The final answer cannot be determined with certainty without additional numerical data for options C and D.
If only A and B were considered, based on the results they don't represent a proportional relationship. Please check if options C or D have numerical representations to evaluate them as well.
1 answer