section 2.3 score: 5/9 answered: 5/9 question 6 when hired at a new job selling jewelry, you are given two…

section 2.3 score: 5/9 answered: 5/9 question 6 when hired at a new job selling jewelry, you are given two pay options: option a: base salary of $14,000 a year, with a commission of 12% of your sales option b: base salary of $18,000 a year, with a commission of 5% of your sales in order for option a to produce a larger income, you would need sell at least $ of jewelry each year.

section 2.3 score: 5/9 answered: 5/9 question 6 when hired at a new job selling jewelry, you are given two pay options: option a: base salary of $14,000 a year, with a commission of 12% of your sales option b: base salary of $18,000 a year, with a commission of 5% of your sales in order for option a to produce a larger income, you would need sell at least $ of jewelry each year.

Answer

Explanation:

Step1: Set up income - equations

Let $x$ be the amount of sales. The income for Option A, $I_A = 14000+0.12x$. The income for Option B, $I_B=18000 + 0.05x$.

Step2: Set up the inequality

We want $I_A>I_B$, so $14000 + 0.12x>18000+0.05x$.

Step3: Solve the inequality

Subtract $0.05x$ from both sides: $14000+0.12x - 0.05x>18000+0.05x-0.05x$, which simplifies to $14000 + 0.07x>18000$. Then subtract 14000 from both sides: $0.07x>18000 - 14000$, so $0.07x>4000$. Divide both sides by 0.07: $x>\frac{4000}{0.07}\approx57142.86$.

Answer:

$57142.86$