Answers:
- Monday = $65.25
- Tuesday = $101.10
- Wednesday = $0
- Thursday = $0
- Friday = $101.36
- Saturday = $105.80
- Sunday = $69.66
- Total for the week = $443.17
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Step-by-step explanation:
Since none of her sales exceed $2000, this means we can ignore the part that mentions "5% commission on any sales over $2,000".
h = number of hours
s = amount of sales between 0 and 2000
The equation is
m = 9.25h + 0.03s
where m is the amount of money made total for that day
9.25h is the amount of money at $9.25 an hour
The 0.03s represents 3% of the sales
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For Monday, we plug in h = 6 hours and s = 325 dollars in sales
m = 9.25h + 0.03s
m = 9.25*6 + 0.03*325
m = 65.25
Lauren earned $65.25 on Monday
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Repeat the same idea for Tuesday. This time we plug in h = 9 hours and her sales are s = 595 dollars.
m = 9.25h + 0.03s
m = 9.25*9 + 0.03*595
m = 101.10
She earned $101.10 for Tuesday.
Keep this process going until the entire week is filled out.
The answers are shown above to check your work.
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Extra info:
If you added up the amounts earned for Monday through Sunday, then you should get $443.17 as the total amount earned for the entire week.
Divide this over the total number of hours worked (6+9+0+0+8+8+6 = 37 hours) and the effective hourly wage is 443.17/37 = 11.98 dollars an hour.
In a sense, the 3% commission adds an extra $2.73 an hour, since 11.98-9.25 = 2.73
Of course, this won't always be the case since the sales amount will fluctuate week to week. Also, there might be some cases in which Lauren is able to get over the $2000 sales threshold. But it gives a slight sense of what's going on.