Question

some companies pay overtime for all time worked over 8 hours in a given day. use this method to complete the following payroll ledger. overtime is paid at the time - and - a - half rate. the regular gross earnings is the total number of regular hours times the regular rate. the overtime gross earnings is the total number of overtime hours times the overtime rate.
employee | hours worked | total hours | reg. rate

s

m

t

w

th

f

s

reg.

o.t

danza j | — | 7.5 | 8 | 9 | 10.75 | 6 | — | | | $11.66

employee | o.t rate | gross earnings |

regular

overtime

total

danza, j | $ | $ | $ | $

determine the number of regular hours that mr. danza worked in the week.
37.5 hours (type an integer or decimal rounded to two decimal places as needed.)

determine the number of overtime hours that mr. danza worked in the week.
□ hours (type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Calculate total hours worked

First, sum up all the hours worked each day: \(7.5 + 8 + 9 + 10.75 + 6\) (we ignore the days with no work). Let's compute that: \(7.5 + 8 = 15.5\), \(15.5 + 9 = 24.5\), \(24.5 + 10.75 = 35.25\), \(35.25 + 6 = 41.25\) total hours.

Step2: Calculate regular hours

Regular hours are the sum of hours up to 8 per day. Let's check each day:

• Monday: 7.5 (regular, since \(7.5 \leq 8\))
• Tuesday: 8 (regular)
• Wednesday: 9 (so regular is 8, overtime is \(9 - 8 = 1\))
• Thursday: 10.75 (regular is 8, overtime is \(10.75 - 8 = 2.75\))
• Friday: 6 (regular)

Now sum the regular hours: \(7.5 + 8 + 8 + 8 + 6\). Let's compute: \(7.5 + 8 = 15.5\), \(15.5 + 8 = 23.5\), \(23.5 + 8 = 31.5\), \(31.5 + 6 = 37.5\) (which matches the given regular hours).

Step3: Calculate overtime hours

Total hours - regular hours = \(41.25 - 37.5 = 3.75\). Alternatively, sum the overtime from each day: Wednesday overtime \(1\) and Thursday overtime \(2.75\), so \(1 + 2.75 = 3.75\).

Answer:

3.75