Question
Which table shows a nonlinear relationship between x and y?
Answer options with 4 options
A. x 1 4 5 7 y 12 9 8 6
B. x 2 4 8 16 y 4 4 4 4
C. x 1 2 3 4 y 5 7 9 11
D. x 2 3 4 5 y 3 4 6 9
Answer options with 4 options
A. x 1 4 5 7 y 12 9 8 6
B. x 2 4 8 16 y 4 4 4 4
C. x 1 2 3 4 y 5 7 9 11
D. x 2 3 4 5 y 3 4 6 9
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which table shows a nonlinear relationship between x and y, we can analyze the given options:
A.
```
x: 1, 4, 5, 7
y: 12, 9, 8, 6
```
This relationship decreases as x increases, but not in a consistent linear fashion.
B.
```
x: 2, 4, 8, 16
y: 4, 4, 4, 4
```
This relationship is constant; hence it is linear.
C.
```
x: 1, 2, 3, 4
y: 5, 7, 9, 11
```
Here, y increases linearly as x increases.
D.
```
x: 2, 3, 4, 5
y: 3, 4, 6, 9
```
The values of y do not increase consistently; the differences between consecutive y values are increasing (1, 2, 3), indicating a nonlinear relationship.
Based on this analysis, the answer is:
**D.**
A.
```
x: 1, 4, 5, 7
y: 12, 9, 8, 6
```
This relationship decreases as x increases, but not in a consistent linear fashion.
B.
```
x: 2, 4, 8, 16
y: 4, 4, 4, 4
```
This relationship is constant; hence it is linear.
C.
```
x: 1, 2, 3, 4
y: 5, 7, 9, 11
```
Here, y increases linearly as x increases.
D.
```
x: 2, 3, 4, 5
y: 3, 4, 6, 9
```
The values of y do not increase consistently; the differences between consecutive y values are increasing (1, 2, 3), indicating a nonlinear relationship.
Based on this analysis, the answer is:
**D.**
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.