Question

an engineering technician makes $25 for the first 40 hours she works during a week $32 an hour for each hour over 40 hours which piecewise equation models her total weekly pay

Answer 1

A piecewise equation to model the total weekly pay for an engineering technician who earns different rates for hours within and beyond 40 hours is P(h) = {25h if h ≤ 40, 1000 + 32(h - 40) if h > 40}.

Step-by-step explanation:

The question asks for a piecewise equation to model the total weekly pay of an engineering technician who makes $25 per hour for the first 40 hours and $32 an hour for each hour over 40 hours. The piecewise function is made up of two parts:

• 
  
• 
  

When written as a piecewise function, it will look something like this:

P(h) =
\{
\begin{array}{ll}
25h & \text{if } h ≤ 40,\\
1000 + 32(h - 40) & \text{if } h > 40.
\end{array}
\}

Answer 2

`f(x)= \left \{ {{25x,x \leq 40} \atop {32(x-40)+1000,x \ \textgreater \ 40}} \right.`