8. You are paid a commission plus $5.40 per hour with time and a half overtime for all hours over 8 per day. Your commission consists of 4 percent of the first
$3,000 in sales and 5 percent on all sales over $3,000. Find your gross pay for a
week in which you worked 9 hours on Monday, 8 hours on Tuesday, 11 hours on
Wednesday, 9 hours on Thursday, 10 hours on Friday, and 8 hours on Saturday.
Your total sales for the week were $4,115.

9514 1404 393

  $491.65

Step-by-step explanation:

The pay for the first 8 hours is $5.40 per hour × 8 hours = $43.20. Hours over 8 are paid at 1.5 × $5.40 = $8.10 per hour. There are at least 8 hours every day for the 6-day week. There are hours over 8 on Monday, Wednesday, Thursday, and Friday totaling 7 hours of overtime.

The amount of sales is more than $3000, so 4% will be paid on $3000, and 5% will be paid on the $1115 in excess of $3000.

So, the gross pay is ...

  $43.20 × 6 + 8.10 × 7 = $315.90 . . . . wages

  $3000 × .04 +1115 × .05 = $175.75 . . . commission

  $315.90 +1.75.75 = $491.65 . . . . gross pay for the week

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It can be less tedious to let a spreadsheet do the calculations.

the first equation 2 x -4 = -8

the second equation -4 x 5 x -6 is 120