Commission Structures and Inequalities

The video tutorial compares two sales job offers: Company A offers a 4% straight commission, while Company B offers a $300 weekly salary plus a 1% commission. The goal is to determine the sales amount needed for Company A's offer to be as good as Company B's. By setting up expressions for both offers and solving the inequality 0.04x ≥ 300 + 0.01x, it is found that at least $10,000 in sales is required for Company A's offer to match Company B's. The tutorial provides a step-by-step guide to solving this problem.

What is the commission rate offered by Company A?

• 2%

• 3%

• 5%

• 4%

What is the base salary offered by Company B?

• $350

• $200

• $250

• $300

How do you convert a percentage to a decimal?

• Multiply by 100

• Divide by 100

• Multiply by 10

• Divide by 10

What is the expression for the weekly pay from Company A?

• 0.03x

• 0.05x

• 0.04x

• 0.06x

What additional component does Company B offer in its pay structure?

• Bonus

• Stock options

• Base salary

• Higher commission

What is the expression for the weekly pay from Company B?

• 300 + 0.01x

• 300 + 0.02x

• 300 + 0.03x

• 300 + 0.04x

What is the first step in solving the inequality for the sales amount?

• Multiply both sides by 0.03

• Subtract 0.01x from both sides

• Divide both sides by 0.03

• Add 0.01x to both sides

What is the simplified form of 0.04x - 0.01x?

• 0.01x

• 0.04x

• 0.02x

• 0.03x

What is the minimum sales amount needed for the straight commission to be competitive?

• $12,500

• $10,000

• $7,500

• $5,000

What is the final step in solving for x in the inequality?

• Divide both sides by 0.03

• Subtract 300 from both sides

• Add 300 to both sides

• Multiply both sides by 0.03