Question

Lincoln works for a recreational vehicle company that sells ATVs, dirt bikes, and motorcycles. His boss pays me $500 for the week, plus a 5% commission on each vehicle he sells. What is the minimum amount of dollars lincoln needs to make in sales to earn more than $1500?

Answer 1

$20,001

Explanation:

Let $x be the amount of dollars Lincoln needs to make in sales to earn more than $1500.

His boss pays him $500 for the week, plus a 5% commission on each vehicle he sells.

5% of $x is $0.05x, the Lincoln earns

`\$(500+0.05x)` in total.

Hence,

`500+0.05x>1,500`

Solve this inequality:

`0.05x>1,500-500\\ \\0.05x>1,000\\ \\5x>100,000\\ \\x>20,000`

Lincoln needs to make in sales more than $20,000, so the minimum amount of dollars Lincoln needs to make in sales is $20,001