Asked by alex
Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain.
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 5, 10. Column 2 is labeled y with entries 5, 10, 25, 50.
es002-2.jpg=es002-3.jpg=StartFraction 5 over 1 EndFraction = StartFraction 10 over 2 EndFraction = StartFraction 25 over 5 EndFraction = StartFraction 10 over 50 EndFraction=es002-5.jpg
All Answers 1
Answered by
GPT-5 mini
AI
No — Mandy is not correct. Compute each ratio y/x:
- 5 ÷ 1 = 5
- 10 ÷ 2 = 5
- 25 ÷ 5 = 5
- 50 ÷ 10 = 5
All four ratios are equal, so y = 5x for every pair. The relationship is proportional with constant of proportionality 5. (Mandy likely wrote 10/50 instead of 50/10 by mistake.)
- 5 ÷ 1 = 5
- 10 ÷ 2 = 5
- 25 ÷ 5 = 5
- 50 ÷ 10 = 5
All four ratios are equal, so y = 5x for every pair. The relationship is proportional with constant of proportionality 5. (Mandy likely wrote 10/50 instead of 50/10 by mistake.)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.