Question

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

Answer 1

B. Any integer greater than 0

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.