Question

Determine if the relationship describes a function.
Is the length of a movie a function of have many actors it has?
Number of actors Movie length (hr)
? ?


The movie length
of the number of actors.
is a fuction
not a fuction

Answer 1

To determine if the relationship between the number of actors in a movie and the length of the movie is a function, we need to assess whether each input (number of actors) corresponds to exactly one output (movie length).

In this case, the number of actors can vary widely across different movies. Some movies with many actors might be very long, while others might be quite short. Conversely, a movie with only a few actors could also be either long or short.

Since there is no consistent rule that links the number of actors to a specific movie length, it is possible for multiple different movie lengths to correspond to the same number of actors. For example:

- A movie with 5 actors could be 1.5 hours long.
- A different movie with the same 5 actors could be only 1 hour long.

Thus, since a single input (number of actors) can produce multiple outputs (different movie lengths), this relationship does not satisfy the definition of a function.

**Conclusion:** The relationship is **not a function**.