Problema Solution
Debra is a saleswoman. She receives a base salary of $50,000 per year. In addition, she receives 5% of her sales amount for the year.
What are the sales amounts that will allow her to earn more than $58,000 in a year? Use for the sales amount (in dollars), and solve your inequality for s .
Answer provided by our tutors
let the amount of her sales be s. set up an equation for t, her total earnings.
t = 50000 + .05s since she earns $50,000 per year PLUS 5% of her sales
you want t to be greater than 58000, so change this to an inequality:
58000 > 50000 + .05t
solve for t. first subtract 50000 from both sides
8000 > .05t
divide both sides by .05
160000 > t
Therefore, her sales need to be greater than $160,000 per year for her to earn more than $58,000 per year.