We have the following function
[tex]f(x)=165x[/tex]
Where x is the number of days and f(x) is the corresponding rent.
The domain is all the possible values for x (number of days )
Now we know that you cannot rent for a fractional number of days or negative number of days so option D is straight away incorrect since real numbers also include integers and rational numbers.
The number of possible days must be discrete like 0, 1, 2, 3 and so on
So, option B makes complete sense for the domain of this function.
The domain of the function is
[tex]domain=\mleft\lbrace0,1,2,3,\ldots\mright\rbrace[/tex]
Note that option A (x ≥ 0) suggests that the numbers of days may also be decimal like 0.15, 1.23 etc. so it is also incorrect.
Also, option C is the range of the function that is possible values of rent f(x) so it is also incorrect.
