SOLUTION: Can you define the variable, write an inequality, and solve the problem. It says: Susan makes 10% commission on her sales. she aslo receives a salary of $25,600. How much must she

Algebra ->  Test -> SOLUTION: Can you define the variable, write an inequality, and solve the problem. It says: Susan makes 10% commission on her sales. she aslo receives a salary of $25,600. How much must she      Log On


   



Question 698677: Can you define the variable, write an inequality, and solve the problem. It says:
Susan makes 10% commission on her sales. she aslo receives a salary of $25,600. How much must she sell to receive a total income between $32,500 and $41,900?

Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
Can you define the variable, write an inequality, and solve the problem. It says:
Susan makes 10% commission on her sales. she aslo receives a salary of $25,600. How much must she sell to receive a total income between $32,500 and $41,900?
let x be the amount that she must sell, then 25600+0.10x would be the amount she'd make which includes her salary plus 10% commission so the inequality would be
32500++%3C=+25600%2B0.10x+%3C=+41900 subtract 25600 from each portion...you have three portions to this equation
32500-25600++%3C=+25600%2B0.10x-25600+%3C=+41900-25600
6900++%3C=+0.10x+%3C=+16300 now divide each portion by 0.10 to solve for x
6900%2F0.10++%3C=+0.10x%2F0.10+%3C=+16300%2F0.10
69000++%3C=+x+%3C=+163000 so she'd have to sell somewhere in between those two values.