Question

A construction company uses the function f(p) where p is the number of people working on a project to model the amount of money it spends to complete a project A reasonable domain for this function would be

Answer 1

Answer:

Domain of f(p) =  [0,∞), where it belongs to whole numbers only

Step-by-step explanation:

The domain is the set of all possible values of independent variable for which function is defined

As in the given function f(p), we have the independent variable p. As p is the number of people working on the project, so it means either the number of people could be 0 or it could be anything greater than 0,  like it could be equal to thousand or ten thousand, but it can not be fraction in any case.

So, the domain is set of whole numbers starting from 0.

Domain of f(p) = [0,∞)  

Answer 2

Answer:

$D:p>0$

Step-by-step explanation:

Notice that the function is defined for $p$ and $f(p)$, where $p$ is the independent variable which represents people.

Remeber that the domain is the set formed by all values for the independent variable, which is people in this case.

Now, if you think this through, you would notice that negative numbers cannot represents people, it makes no sense.

So, a reasonable domain is all integers greater than 0, because there cannot be negative numbers.