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. What expression best represents the total amount of commission, in dollars, Tasha earns when her sales amount is x dollars, where x > $5000 ?

Answer 1

Commission = 50 (5% of first \$1,000) + 400 (10% of next \$4,000) + 22% of the amount over \$5,000.

So for x > 5000:
Commission = 450 + 0.22(x − 5000), which simplifies to 0.22x − 650.