Question

katrina earns a weekly salary of $250. she wants to earn at least $850 this week in salary and commission. what is the minimum amount of sales katrina needs to make if she earns a 7.5% commission on everything she sells? round your answer to the nearest dollar, if necessary. enter the answer.

Explanation:

Step1: Define variables and equation

Let \( x \) be the amount of sales. Her total earnings are weekly salary plus commission: \( 250 + 0.075x \geq 850 \).

Step2: Solve for \( x \)

Subtract 250 from both sides: \( 0.075x \geq 850 - 250 \)
\( 0.075x \geq 600 \)

Divide both sides by 0.075: \( x \geq \frac{600}{0.075} \)
\( x \geq 8000 \)

Answer:

\( \$8000 \)