Question

Which representation shows a proportional relationship between xx and yy?
A
xx yy
77 1010
1919 2222
2626 2929
2828 3131
B
xx yy
22 1313
88 5555
2727 188188
2929 202202
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 ratio \( \frac{y}{x} \) is constant for all points in the representation.

Let's evaluate the choices given:

**Choice A**
- \( \frac{1010}{77} \approx 13.12 \)
- \( \frac{2222}{1919} \approx 1.16 \)
- \( \frac{2929}{2626} \approx 1.11 \)
- \( \frac{3131}{2828} \approx 1.10 \)

The ratios are not constant, so it is not proportional.

**Choice B**
- \( \frac{1313}{22} \approx 59.677 \)
- \( \frac{5555}{88} \approx 63.75 \)
- \( \frac{188188}{2727} \approx 69.0 \)
- \( \frac{202202}{2929} \approx 69.0 \)

The ratios are not constant, so it is not proportional.

**Choice C**
- If the values of \( x \) and \( y \) are provided, we can apply the same method; however, the values are not specified.

**Choice D**
- Similarly, if the values of \( x \) and \( y \) are provided, we can apply the same method; however, the values are not specified.

Since choices C and D do not have values specified, we cannot evaluate them without additional information.

Based on the information we have about choices A and B, neither shows a proportional relationship. If only one of C or D is provided as a numeric representation, we can evaluate that one.

Without further context, we cannot conclusively determine the answer. However, based on the evaluations of A and B, they are not proportional.

Please provide values for choices C and D for further analysis if needed!