A person was monitoring how fast the

pressure of a tire dropped after it was

punctured by a nail. They noticed that the

air pressure could be modeled by

P (t) = 35 (0.97t), where the time, t, was

measured in minutes after the nail puncture

and Plt) represented the pressure in PSI.

Which of the below would be the best

description of the domain of the function?

O any real number

O any integer greater than o

) 0 C) 120

Question

Mathematics

Kenyon Rollins

16 February, 10:35

A person was monitoring how fast the

pressure of a tire dropped after it was

punctured by a nail. They noticed that the

air pressure could be modeled by

P (t) = 35 (0.97t), where the time, t, was

measured in minutes after the nail puncture

and Plt) represented the pressure in PSI.

Which of the below would be the best

description of the domain of the function?

O any real number

O any integer greater than o

) 0 C) 120

+4

Answers (1)

Know the Answer?

Beau Arellano · Answer 1

B. Any integer greater than 0

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable. It is the set of all possible values of t which will make the function "work", and will give a result for the Air Pressure, P (t).

Since Time (t) is a continuous function, the domain could take on any positive real number. Since, we are looking for the best description of the domain, Option B (any integer greater than 0) would be suitable.

This is because choosing any real number in Option A will accept negative values and time cannot be negative.