Your pay is described by a piecewise function p(t) where t is hours worked.
[tex]p(t)=\left\{\begin{array}{rcl}7t&\mbox{for}&t\leq40\\10.5t-140&\mbox{for}&t>40\end{array}\right.[/tex]
The domain of this function is the number of hours you can work in a week—zero to 168. This problem, however, is asking for the domain for a typical 40-hour week. That will be the interval [0, 40].