Question

Randy gets paid $15 per hour for a 40 hour work week and $25 per hour for each hour he works over 40 hours. How much would he get paid for working 55 hours in one week?

Answer 1

975

Step-by-step explanation

Let x represents the number of hours Randy worked;then

Randy gets paid $15 per hour for a 40 hour work week

`\begin{gathered} if \\ x\leq40 \\ \text{wage}=15\cdot x \\ \text{wage}=15x \end{gathered}`

and

$25 per hour for each hour he works over 40 hours.

let y represents the hours after 40,he worked,so

`\begin{gathered} y=55-40 \\ y=15 \\ wage2=15\cdot25 \end{gathered}`

now, let x = 55 hours

`\text{wage}=\text{wage}1+\text{wage}2=600+(15\cdot25)=975`

So, he will get