Question

A manufacturer pays its assembly line workers $10.17 per hour. In addition, workers receive a piece work rate of $0.69 per unit produced. Write a linear equation for the hourly wages W interms of the number of units a produced per hour.linear equation: W___What is the hourly wage for Mike, who produces 28 units in one hour?Mike's wage=___

Answer 1

Hello there. To solve this question, we'll have to remember some properties about linear models.

Knowing that the manufacturer pays $10.17 per hour and the workers also receive a piece work rate of $0.69 per unit produced, Say we have t hours worked and u units produced, the wage W in terms of the number of units is:

W(u) = 0.69u + 10.17, since this function stands for the hourly wage.

Now, to find the hourly wage for Mike, who produced 28 units in one hour:

Plug in u = 28:

`W(28)=0.69\cdot28+10.17=19.32+10.17=29.49`

This is Mike's wage. If he had worked more hours, we would find the value for 2 * W(28), since this would be the amount he receive for one hour of work producing 28 units.

If he had produced another amount of units, we would have the sum of W(28) + W(other amount), since it happened in different hours of work.

Both would evaluate to the same answer, but it is important to know what is happening.