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.

Option A

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

Solution:

Given that,

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

From above information,

5:00   72°F

5:10 400°F

5:45 400ºF

6:55 72°F

Thus at any given time (input) the oven was exactly one temperature  (a single output )

Therefore the statement that best explains is:

Option 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

option a

Step-by-step explanation:

cosine

step-by-step explanation: