Question

Which representation shows a proportional relationship between xx and yy?
A
xx yy
22 11
66 55
1717 1616
2323 2222
B
xx yy
44 77
77 1313
99 1717
2626 5151
C

x
y
D
x
y
Answer
Multiple Choice Answers
AA
BB
CC
DD

Answer 1

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.