a salesperson is paid a base salary of $300 a week plus a 5% commission on the sales he generates. which…

a salesperson is paid a base salary of $300 a week plus a 5% commission on the sales he generates. which inequality best represents s, the amount of sales in dollars he must generate to earn more than $500 for the week?\no s > 25\no s > 200\no s > 4,000\no s > 16,000

a salesperson is paid a base salary of $300 a week plus a 5% commission on the sales he generates. which inequality best represents s, the amount of sales in dollars he must generate to earn more than $500 for the week?\no s > 25\no s > 200\no s > 4,000\no s > 16,000

Answer

Explanation:

Step1: Set up the earnings equation

The sales - person's earnings $E$ is the sum of the base salary and the commission. The base salary is $300$ and the commission is $0.05s$ (since 5% = 0.05), so $E=300 + 0.05s$. We want $E>500$. $300 + 0.05s>500$

Step2: Solve the inequality for $s$

Subtract 300 from both sides of the inequality: $0.05s>500 - 300$ $0.05s>200$ Then divide both sides by 0.05: $s>\frac{200}{0.05}$ $s > 4000$

Answer:

C. $s>4,000$