Question

A manufacturer pays its assembly line workers $11.06 per hour. In addition, workers receive a piece of work rate of $0.34 per unit produced. Write a linear equation for the hourly wages W in terms of the number of units x produced per hour. Linear equation: W = _______ What is the hourly wage for Mike, who produces 17 units in one hour? Mike’s wage = _________

Answer 1

Let's assume the following variables.

x = number of units produced

It is stated in the problem that for every unit produced, there is an additional wage of $0.34. Hence, on top of $11.06 per hour wage, there will be an additional of $0.34x per hour. In equation, we have wage per hour:

`W=11.06+0.34x`

If Mike was able to produce 17 units, our x here is 17. Let's plug this value to the formula.

`W=11.06+0.34(17)`

Then, solve.

`\begin{gathered} W=11.06+5.78 \\ W=16.84 \end{gathered}`

Therefore, Mike's hourly wage is $16.84.