write an expression to represent the net weekly wage of the worker in terms of H and what will the net wage of a worker for 6 hours

Question

the basic hourly wage rate for a weekly paid worker in a company is $8 and any hours above 40 are paid at $12. tax is paid at a rate of 25% on any earnings above $80 a week. If the hours by the worker per week exceed(H) 60hours

Answer 1

https://www.wiley.com/legacy/Australia/PageProofs/MQ9_AC_VIC/c11FinancialMathematics_WEB.pdf

Answer 2

W=weekly wage, H=hours worked. For H>40:

W=40*8+12(H-40)=320+12H-480=12H-160, so W=12H-160 where H≥40 is the gross weekly wage.

The first 40 hours are paid at $8/hr=$320. The remaining hours are paid at $12/hr.

D=tax deduction; D=(W-80)/4 which is 25% of earnings over $80.

N=net wage=W-D.

So D=(12H-160-80)/4=3H-60.

N=W-D=12H-160-3H+60=9H-100. Net wage=9H-100.

(If H=60, N=9*60-100=$440.)