Question

juliet has a choice between receiving a monthly salary of $1920 from a company or a base salary of $1600 and a 4% commission on the amount of furniture she sells during the month. for what amount of sales will the two choices be equal? the two salary choices will be equal when the amount of sales is $ (round to the nearest dollar as needed.)

Explanation:

Step1: Define variable for sales

Let $x$ = total monthly furniture sales (in dollars).

Step2: Set up equal salary equation

The second salary is base + 4% commission, so set equal to fixed salary:
$$1920 = 1600 + 0.04x$$

Step3: Isolate the commission term

Subtract 1600 from both sides:
$$1920 - 1600 = 0.04x$$
$$320 = 0.04x$$

Step4: Solve for x

Divide both sides by 0.04:
$$x = \frac{320}{0.04}$$
$$x = 8000$$

Answer:

8000