Question

Liz earns a salary of $2,200 per month, plus a commission of 7% of her sales. She wants to earn at least $2,400 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.

Answer 1

Liz needs to sale items of worth at least $2857.14 in order to meet her goal.

Step-by-step explanation:

Given,

Salary of Liz = $2200 per month

Commission rate = 7% = 0.07

Amount she wants to earn = $2400 or more

Let,

p be the worth of items she sale.

Amount of commission = 0.07p

Now,

Amount of commission + Monthly salary ≥ Amount she wants to earn

0.07p+2200≥2400

Solving the inequality;

$0.07p\geq 2400-2200\\0.07p\geq 200$

Dividing both sides by 0.07

$\frac{0.07p}{0.07}\geq \frac{200}{0.07}\\p\geq 2857.14$

Liz needs to sale items of worth at least $2857.14 in order to meet her goal.

Keywords: inequality, division

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