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
.
What graph best represents the amount of commission, in dollars, that Tasha earns from sales of
x dollars?

Answer 1

Commission C(x) = { 0.05x for 0 ≤ x ≤ 1000
0.10x − 50 for x > 1000 }.

So the graph is two connected line segments meeting at (1000,50): a line through the origin with slope 0.05 up to x=1000, then a steeper line with slope 0.10 for x>1000.