Joleen is a sales associate in a clothing store. Each week she earns $250 plus a commission equal to 3% of her sales. This week her goal is to earn no less than $460. Write and solve an inequality to find the dollar amount of the sales she must have to reach her goal.
which means she wants sales ≥ 460
solve for s (sales)
.03s + 250 ≥ 460
more than $7000 to reach her goal.
Let's represent the dollar amount of sales Joleen must have to reach her goal as "x".
According to the given information, Joleen earns $250 plus a commission equal to 3% of her sales. This can be expressed as:
Earnings = $250 + 0.03x
Joleen's goal is to earn no less than $460. So, we can write the inequality as:
Earnings ≥ $460
Substituting the equation for earnings, we get:
$250 + 0.03x ≥ $460
To isolate the variable "x", we need to subtract $250 from both sides of the inequality:
0.03x ≥ $460 - $250
0.03x ≥ $210
Now, divide both sides of the inequality by 0.03 to solve for "x":
x ≥ $210 / 0.03
x ≥ $7,000
So, Joleen must have sales of at least $7,000 to reach her goal.
To determine the dollar amount of sales Joleen must have to reach her goal, we can write an inequality.
Let "x" be the dollar amount of sales Joleen makes. Given that she earns a commission of 3% of her sales, her commission can be expressed as 0.03x.
Joleen's total earnings each week, including the base salary and commission, can be calculated as $250 + 0.03x.
Now, to find the dollar amount of sales she must have to reach her goal of no less than $460, we can set up the inequality:
$250 + 0.03x ≥ $460
To solve this inequality, we can start by subtracting $250 from both sides to isolate the term with the variable:
0.03x ≥ $460 - $250
0.03x ≥ $210
Next, we divide both sides of the inequality by 0.03:
x ≥ $210 / 0.03
x ≥ $7,000
Thus, to reach her goal of earning no less than $460, Joleen must have sales of at least $7,000.