Question

A salesperson is paid a base salary of $300 a week plus a 5% commission on the sales he generates. Which inequality best represents s, the amount of sales in dollars he must generate to earn at least $500 for the week?

Answer 1

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

Answer 2

$300 per week. 0.05%=5%
First, we have 300+0.05s≥500

300+0.05s≥500

300 0.05s-300 ≥500-300
0.05s≥200
Divide each side by 0.05
s≥4000