Question

A dentist sees patients each day to clean their teeth. The function g(x) represents the number of teeth cleaned, where x is the number of people who saw the dentist. Does a possible solution of (20, 20) make sense for this function? Explain your answer.

Yes. The input and output are both possible.
No. The input is not possible.
No. The output is not possible.
No. Neither the input nor output is possible.

Answer 1

Yes. The input and output are both possible.

In this problem, a dentist sees patients each day to clean their teeth. So we represent this function as g(x) where:

x: Represents the number of people who saw the dentist.

g(x): Represents the number of teeth cleaned.

So we are given a point that is solution to our function, which is but what does this point represent? This tells us that the dentist saw 20 patients and cleaned 20 teeth, that is, he cleaned an only teeth per patient. So this will make sense under the conditions that make it possible, for example, a volunteer dentist can see more people than a common dentist and it is likely that that volunteer person sees fewer teeth. However, it's very difficult that that dentist finds 20 people with an only tooth each. So this situation is possible, but not realistic in the real world.

Explanation:

Answer 2

A.) Yes. The input and output are both possible.

Explanation:

In this problem, a dentist sees patients each day to clean their teeth. So we represent this function as g(x) where:

x: Represents the number of people who saw the dentist.

g(x): Represents the number of teeth cleaned.

So we are given a point that is solution to our function, but what does this point represent? This tells us that the dentist saw 20 patients and cleaned 20 teeth. For example, a volunteer dentist can see more people than a common dentist and it is likely that that volunteer person sees fewer teeth. However, it's very difficult that that dentist finds 20 people with an only tooth each. So this situation is possible, but not realistic in the real world.