Question

Robert graduates from a technical school and finds a welding job that pays

14 per hour. He always works at least 40 hours in a given week. When he works overtime, he gets 1.5 times his regular hourly pay. His overtime pay can represented by h, the number of hours greater than 40 he works in a week.Create an expression for the amount of money Robert earns in a week.

Answer 1

To calculate Robert's weekly earnings including overtime, use the expression E = $560 + $21h, where E represents total earnings and h represents overtime hours worked.

Step-by-step explanation:

The question asks for an expression to calculate Robert's weekly earnings, including overtime. Robert's regular hourly pay is $14 for the first 40 hours. Overtime work is compensated at 1.5 times his regular hourly rate.

So, for overtime hours represented by h, the pay per hour is 1.5 × $14 = $21. Therefore, the total amount Robert earns for his overtime hours is represented by $21 × h.

Robert's total weekly earnings (E) can be calculated using the following expression:

E = (40 × $14) + (h × $21)

To put it in numerical terms, this is:

E = $560 + $21h

Where:

• $560 is his earnings for 40 hours of regular work, and
• $21h is his earnings for h hours of overtime.