Question

Your hourly wage is $5.30 per hour plus 0.50 for each unit you produceHow many units must you produce in 1 hour so that your hourly wage is $10.80

Answer 1

11 units

Step-by-step explanation

Let y be the hourly wage and x be the number of units produced. We know that the hourly wage is $5.30 as a base and then for each unit produced there is an extra $0.50, so the hourly wage is given by,

`y=5.30+0.50x`

We want to find the number of units that must be produced in an hour, x, to have an hourly wage of $10.80,

`10.80=5.30+0.50x`

To solve for x, subtract 5.30 from both sides,

`\begin{gathered} 10.80-5.30=5.30-5.30+0.50x \\ \\ 5.50=0.50x \end{gathered}`

And divide both sides by 0.50,

`\begin{gathered} (5.50)/(0.50)=(0.50x)/(0.50) \\ \\ 11=x \end{gathered}`

Hence, you must produce 11 units to have an hourly wage of $10.80.