Question

At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?

A. It is a function because at any given time the oven was exactly one temperature.B. It is a function because the oven temperature was the same at different times.C. It is not a function because at any given time the oven was exactly one temperature. D. It is not a function because the oven temperature was the same at different times.

Answer 1

The correct option is:

A. It is a function because at any given time the oven was exactly one temperature.

Explanation:

It is given that:

At 5:00 p.m., Antonio turned on the oven.

The oven remained at 400°F for 45 minutes until Antonio turned it off.

It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m.

The statement that best explains whether the temperature in the oven is a function of the time or not is:

A. It is a function because at any given time the oven was exactly one temperature.

( Since the definition of function states that there is a unique image corresponding to a element hence here the temperature at a given time is unique)

Answer 2

A function is a special relationship where each input has a single output.
In this case at any given time (input) the oven was exactly one temperature (a single output.
5:00 ------------------72º F
5:05------------------250º F
5:10------------------400ºF
5:20------------------400ºF
5:30------------------400ºF
5:45------------------400ºF
6:00------------------400ºF
6:30------------------300ºF
6:55------------------72ºF

Answer: A. It is a function because at any given time the oven was wxactly one temperature.