Final answer:
Without a specific PTD function provided, we cannot calculate an exact per-minute decay rate. The concept involves calculating the decay constant in an exponential decay model and expressing it as a percentage. The provided examples mix various statistical and physical principles that are not directly applicable to finding a decay rate for PTD.
Step-by-step explanation:
To find the per-minute decay rate of the positive temperature difference (PTD) function, we need to understand that the question is asking for a rate of change in a specific context, which commonly involves differential calculus or exponential decay formulas in mathematics. However, without a specific function provided for PTD, we cannot calculate an exact rate. What we can discuss is the concept, typically in an exponential decay model represented by an equation like P(t) = P_0 * e^(-kt), where P(t) is the value at time t, P_0 is the initial value, and k is the decay constant. The per-minute decay rate, as a percentage, would then be calculated by finding k and expressing it as a percentage.
If the question was related to the exponential decay of numerical values based on the provided examples, which mention calculating p-values and growth rates, we might use a similar approach and apply the substitution of values and approximation methods demonstrated in the examples. If p is small, we use the approximation ln(1+p) ≈ p to simplify the calculations, assuming that the PTD function behaves similarly to an exponential growth or decay model.
However, the information provided mixes various statistical and physical principles that do not directly inform the solution to finding a decay rate for PTD without additional context or a specific function. If we had the PTD function, we would differentiate it with respect to time and convert the derivative to a percentage to represent the rate.