Math  /  Algebra

QuestionA mechanic earns \14/hourregularand$21/hourovertime.Find14/hour regular and \$21/hour overtime. Find W(30),, W(40),, W(45),, W(50)$ and new function for 36 hours.

Studdy Solution
Write down the new weekly wage function. For hours less than or equal to36, the wage is still 14perhour.Forhoursgreaterthan36,thewageistimeandahalf,or14 per hour. For hours greater than36, the wage is time-and-a-half, or 21 per hour, for the extra hours, plus the wage for the first36 hours.
Wnew(h)={14h,0<h3621(h36)+504,h>36W_{new}(h)=\left\{\begin{array}{ll} 14h, &0<h \leq36 \\ 21(h-36)+504, & h>36\end{array}\right.

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