Q:

A sales representative is given a choice of two paycheck plans. One choice includes a monthly base pay of $300 plus 10% commission on his sales. The second choice is a monthly salary of $1200. For what amount of sales would the representative make more money with the first plan. All I know is this has to do with inequalities. Can someone help me because I honestly don't know.

Accepted Solution

A:
Answer:The representative make more money with the first plan for sales greater than $9,000Step-by-step explanation:Letx -----> monthly salesy ----> monthly salarywe know thatFirst Choiceremember that[tex]10\%=10/100=0.10[/tex][tex]y=0.10x+300[/tex] ----> equation ASecond Choice[tex]y=1,200[/tex] ----> equation BThe inequality that represent this situation isFirst Choice > Second Choicesubstitute[tex]0.10x+300 > 1,200[/tex]Solve for xSubtract 300 both sides[tex]0.10x+300-300 > 1,200-300[/tex][tex]0.10x > 900[/tex]Divide by 0.10 both sides[tex]x > \$9,000[/tex]thereforeThe representative make more money with the first plan for sales greater than $9,000