Question

Joel has been offered sales positions at two different companies. AlphaCo offers an annual salary of $65, 000. OmegaCo offers an annuall salary of $42, 500 plus a 3% commission on sales.

Which inequality should Joel use to determine what his sales, s, need to be in order to earn a greater salary at OmegaCo than he would at AlphaCo?
A. 0.03s + 42,500<65,000
B. 0.03s + 42,500≤ 65,000
C. 0.03x + 42,500>65,000
D. 0.03s + 42,500≥ 65,000

Answer 1

Joel should use the inequality C. 0.03s + 42,500 > 65,000 to calculate the minimum sales required at OmegaCo to earn more than what he would at AlphaCo with a fixed salary. The correct answer is option C.

Step-by-step explanation:

To determine what his sales, s, need to be in order for Joel to earn a greater salary at OmegaCo than he would at AlphaCo, Joel should set up an inequality that compares the total potential earnings from both companies. AlphaCo offers a fixed salary, while OmegaCo offers a base salary plus a percentage of the sales made.

Thus, the inequality must represent the scenario where OmegaCo's pay structure results in a higher total salary than AlphaCo's fixed salary.

The correct inequality is OmegaCo's salary must be greater than AlphaCo's salary:
C. 0.03s + 42,500 > 65,000
This inequality can be solved to find the minimum amount of sales, s, Joel needs to make at OmegaCo to earn more than the fixed salary at AlphaCo.