Answer:
The correct answer is graph A.
Step-by-step explanation:
Step-by-step explanation:
Inverse functions are functions that "undo" each other. In other words, if f(x) = y, then the inverse of f, denoted by f^-1(x), is the function that satisfies f^-1(y) = x.
In this case, the teacher is proposing that the velocity of a car in miles per hour and the stopping distance can be represented by inverse functions. This means that there is a function f(v) that gives the stopping distance for a given velocity v, and there is an inverse function f^-1(d) that gives the velocity for a given stopping distance d.
Graph A shows a function f(v) that is decreasing and a function f^-1(d) that is increasing. This is consistent with the idea that as the velocity of a car increases, the stopping distance increases. Conversely, as the stopping distance increases, the velocity of a car decreases.
Moreover, the two functions intersect at a point, which means that there is a unique velocity for every stopping distance, and there is a unique stopping distance for every velocity. This is also consistent with the idea that the two functions are inverses of each other.
Therefore, graph A is the only graph that includes a pair of functions for a specific velocity function and stopping distance that can be verified as inverses.