Final answer:
The correct equation to calculate page fault rate P in operating systems is P = f/t, where f is the number of page faults and t is the number of memory references.
Step-by-step explanation:
The equation that represents how an Operating System (OS) calculates the page fault rate (P) is P = f/t, where f is the number of page faults and t is the number of memory references. The page fault rate is a measure of how frequently the system has to fetch data from secondary storage into main memory, causing a delay in program execution. You can think of it similarly to how we consider efficiency in other systems, like flow rate in a pipe (where volume per time would be analogous to page faults per memory references) or growth rates in populations (proportions changing over time).
The correct equation that represents how an OS calculates the page fault rate P is P = t/f. This equation reflects the ratio of the number of page faults (f) to the number of memory references (t). For example, if there are 100 page faults during 500 memory references, the page fault rate would be 100/500, which simplifies to 1/5 or 0.2.