Question

A salesperson earns a base salary of

$200 per week plus a commission of 0.5

times the dollar amount of the sales she

makes. The equation below can be used

to determine E, her earnings for making

sales of s dollars.

0.5s + 200 = E

The sales person earned less than

$1,000 last week. Which inequality

describes the dollar amount of sales the

salesperson must make to earn less than

$1,000 in one week?

A. s > 1,600

B. s > 1,800

C. s < 1,800

D. s < 1,600

Answer 1

D.

Explanation:

1600 * .5 = 800

800 + 200 = 1000

Answer 2

The expression can be written as the inequality:

300+0.05s≥500

300$ is made per week, so we start off with

300

He also makes 5% or 0.05 from his sales, so we add in the expression 0.05x (where s is equal to his sales volume for the week)

300+0.05s

If he wants to make at least 500$ weekly, then the total of the base salary plus the commission has to be 'greater than or equal to 500.

300+0.05s≥500

Lets solve for s now...

300+0.05s≥500

subtract 300 from both sides

0.05s≥200

Divide both sides by 0.05

s≥4000

Explanation: