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) dsdp=pk(B) dsdp=sk(C) dpds=pk(D) dpds=sk
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) dsdp=pk(B) dsdp=sk(C) dpds=pk(D) dpds=sk
Given Information: We are given that 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. This means that as the intensity s increases, the rate of change of p decreases, and vice versa. The mathematical way to express an inverse proportionality is by stating that one quantity is equal to a constant divided by the other quantity. In this case, we can write dsdp=sk, where k is a constant of proportionality.
Mathematical Expression: Now we need to match our derived relationship with the given options. The correct equation should express (dsdp) as being proportional to s1. Looking at the options, we see that option (B) (dsdp)=(sk) matches our derived relationship.
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