The relation described in this statement can be classified as which of the following? The total distance traveled and the time spent driving on the trip.
-
Select one:
a.
both a relation and a function
b.
a function only
c.
a relation only
d.
neither a relation nor a function

Question

The relation described in this statement can be classified as which of the following? The total distance traveled and the time spent driving on the trip.
-
Select one:
a.
both a relation and a function
b.
a function only
c.
a relation only
d.
neither a relation nor a function

ellableuuu · Answer

@mathmale

ellableuuu · Answer

@Hero

hero · Answer

@ellableuuu what do we already know that was given in the problem statement that is definitely true?

ellableuuu · Answer

The time spent driving on the trip? @Hero

hero · Answer

What does the first sentence in the problem statement say?

ellableuuu · Answer

Ohhh the relation.

hero · Answer

Exactly, so we know the relationship is at least a relation.

ellableuuu · Answer

Yes, how can we tell if it's a function or not?

ellableuuu · Answer

@Hero ??

hero · Answer

Sorry, I'm at work. Do you think you could try to explain in words the difference between a relation and a function?

ellableuuu · Answer

Sure, a relation is a set of numbers that have a relationship through the use of a domain and a range, while a function is a relation that has a specific set of numbers that causes there to be only be one range of numbers for each domain of numbers. All functions are relations, but all relations are not functions.

ellableuuu · Answer

It would have to be C I think.

hero · Answer

@ellableuuu we know that we have a relation, but what we don't know is whether the relation is function. So we have to use reasoning to figure out whether the relation is a function or not.

ellableuuu · Answer

Okay, and how do we do that?