Question

Julio is paid 1.4 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 43 hours and earned $535.62. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable.

Answer 1

`r = \$14.71`

Explanation:

Given

Normal Hour = 32 hours

Overtime = Hours above 32

Rate for Overtime = 1.4 times normal rate

Earnings = $535.62

Required

Determine the normal hour pay

First, we need to determine the hours worked overtime.

This is:

`Overtime = 43 - 32`

`Overtime = 11`

The equation that binds all the parameters is:

`Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate`

This gives:

`535.62 = 21 * r + 11 * 1.4r`

`535.62 = 21r + 15.4r`

`535.62 = 36.4r`

Solve for r

`r = 535.62/36.4`

`r = \$14.71`