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

ANSWER

11 units

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,

$\begin{gathered} \frac{5.50}{0.50}=\frac{0.50x}{0.50} \\ \\ 11=x \end{gathered}$

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