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 more than $500 for the week?
A. s greater-than 25
B. s greater-than 200
C. s greater-than 4,000
D. s greater-than 16,000

Answer 1

the amount would be 315$

Answer 2

Keep in mind it is asking for a range of values that will let the salesperson earn more than 500 a week. it won't be one single number.

the salesperson earns a base of 300 per week plus 5% commission on sales. if we let s = sales, then he earns 5% of s, or 0.05s as commission. adding this onto 300, we get

0.05s + 300

this amount must be greater than 500 so

0.05s + 300 > 500

solve the inequality for s