Question

If Pam works more than 40 hours per week, her hourly wage for every hour over 40 is 1.5 times her normal hourly wage of $7. Write a piecewise-defined function that gives Pam's weekly pay P(h) in terms of the number of hours h that she works.

Answer 1

Given:

40 hours wage is $7 and over 40 hours the wage is 1.5 time of $7

so total income is:

$\begin{gathered} p(h)=40\times(7)+h(1.5\times7) \\ p(h)=280+10.5h \end{gathered}$

where h is a extra hours she works.