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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).
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