The rate of change of the perceived stimulus p with respect to the measured intensity s of the stimulus is inversely proportional to the intensity of the stimulus.Which equation describes this relationship?Choose 1 answer:(A) dpds=sk(B) dsdp=sk(C) dsdp=pk(D) dpds=pk
Q. The rate of change of the perceived stimulus p with respect to the measured intensity s of the stimulus is inversely proportional to the intensity of the stimulus.Which equation describes this relationship?Choose 1 answer:(A) dpds=sk(B) dsdp=sk(C) dsdp=pk(D) dpds=pk
Define Relationship: The problem states that the rate of change of the perceived stimulus p with respect to the measured intensity s is inversely proportional to the intensity s. This means that as s increases, the rate of change of p decreases, and vice versa. The mathematical way to express this is to say that the derivative of p with respect to s, dsdp, is equal to some constant k divided by the intensity s. This can be written as s0.
Match with Options: Now we need to match this relationship with the given options. The correct equation should express dsdp as being proportional to s1. Looking at the options, we can see that option (B) dsdp=sk matches this description.
Eliminate Incorrect Options: We should check the other options to ensure they do not describe the relationship correctly. Option (A) (dpds)=sk suggests that the rate of change of s with respect to p is inversely proportional to s, which is the inverse of what we are looking for. Option (C) (dsdp)=pk suggests that the rate of change of p with respect to s is inversely proportional to p, which is not what the problem states. Option (D) (dpds)=pk also does not match the description given in the problem. Therefore, these options can be eliminated.
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