Question

Tasha is a salesperson in a department store. The commission she earns each week depends on her weekly sales amount. If her weekly sales amount is less than or equal to
$
1
,
000
, she earns a commission of
5
%
of the sales amount. If her weekly sales amount is greater than
$
1
,
000
, she earns a commission of
5
%
of the first
$
1
,
000
plus a commission of
10
%
of the portion of her sales that exceeds
$
1
,
000. When Tasha’s sales exceed $5000, she earns a bonus of 12% commission on the portion of her sales amount that exceeds $5000. Which of the following expressions best represents the total amount of commission, in dollars, Tasha earns when her sales amount is x dollars, where x > $5000 ?
.

Answer 1

For x > 5000 she gets:
- 5% of the first $1000 = 0.05(1000) = 50
- 10% of the amount from $1000 to $5000 = 0.10(4000) = 400
- 10% plus 12% (i.e. 22%) on the amount over $5000 = 0.22(x − 5000)

Total = 50 + 400 + 0.22(x − 5000) = 0.22x − 650.