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26 Jan 2026, 19:40
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Sajjad1994
Firstly thank you for the reply
I agree with the official answer
Could you help me understand how direct proportionality would typically be indicated in this case?
Is it correct to say that if we observe only one instance of an increase in speed (for example from 5 to 8 - which could also be expressed as a fixed percentage increase) it would be incorrect to conclude that the relationship is directly proportional? In other words, would we need to check two or three additional scenarios to confirm that the ratio remains constant before claiming direct proportionality?
Firstly thank you for the reply
I agree with the official answer
Could you help me understand how direct proportionality would typically be indicated in this case?
Quote:
Is it correct to say that if we observe only one instance of an increase in speed (for example from 5 to 8 - which could also be expressed as a fixed percentage increase) it would be incorrect to conclude that the relationship is directly proportional? In other words, would we need to check two or three additional scenarios to confirm that the ratio remains constant before claiming direct proportionality?
Sajjad1994
27 Jan 2026, 07:48
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Rickooreoisb
Hi Rickooreoisb
Yes, You are right. A single observed value does not prove direct proportionality. To confirm a directly proportional relationship we must check that the ratio remains constant for multiple different values [Majority of the values in the relationship] and not just one value or instance.
10 Apr 2026, 06:48
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Hi Rickooreoisb
Direct Proportionality will manifest itself as following-
If the ratios, a/b= c/d, then, we can say "conveyor-belt speed is directly proportional to total annual output of assembled units."
Similarly, if a=b*k & c=d*k, where k is a constant, then again it means proportionality.
However, from all the info given in the question, we can get the values of a & c. Unfortunately, we don't know the values of b & d.
Hence, we can't say whether there is a proportionality or not.
As far as your 2nd doubt is concerned, we need to check all the mentioned instances. So that we can compare each individual ratio (whether they are equal or not).
Direct Proportionality will manifest itself as following-
| Total Output Units | Conveyor belt Speed | |
| Y10 | a | b |
| Y11 | c | d |
If the ratios, a/b= c/d, then, we can say "conveyor-belt speed is directly proportional to total annual output of assembled units."
Similarly, if a=b*k & c=d*k, where k is a constant, then again it means proportionality.
However, from all the info given in the question, we can get the values of a & c. Unfortunately, we don't know the values of b & d.
Hence, we can't say whether there is a proportionality or not.
As far as your 2nd doubt is concerned, we need to check all the mentioned instances. So that we can compare each individual ratio (whether they are equal or not).
