Commission, Markup, and Inequalities

The video tutorial covers various mathematical concepts, including solving inequalities, calculating sales tax, determining markup percentages, and computing commissions. It begins with an explanation of inequalities using a practical example, followed by solving a store inventory problem using inequalities. The tutorial then demonstrates how to graph inequalities on a number line. It also includes practical applications such as calculating sales tax on a purchase, determining the markup percentage on a product, and computing a paycheck with commission. Each section provides step-by-step solutions and reasoning to enhance understanding.

What does Priya want when she subtracts a number from 12?

• A result greater than 5

• A result equal to 12

• A result smaller than 5

• A result equal to 5

Why should the values of x be smaller in Priya's inequality?

• To make the result equal to 12

• To keep the result greater than 5

• To make the result less than 5

• To make the result equal to 0

In the store's inequality, what does the three-fifths represent?

• Total shirts in stock

• Shirts on display that didn't sell

• Shirts brought from the stock room

• Shirts sold

What is the solution to the store's inequality?

• x is less than or equal to 150

• x is greater than or equal to 200

• x is equal to 150

• x is less than 200

What is the correct range of solutions for the inequality in the third section?

• x is greater than 5

• x is less than or equal to 5

• x is equal to 5

• x is greater than or equal to 5

How is the sales tax calculated on the shirt?

• By adding 5% to the price

• By subtracting 7.5% from the price

• By multiplying the price by 2

• By adding 7.5% to the price

What is the final price of the shirt including sales tax?

• $14.00

• $12.58

• $13.52

• $13.00

What was the markup percentage on the helmet?

• 50%

• 66%

• 75%

• 100%

How much does the worker earn from commission if they sell $250 worth of merchandise?

• $15.00

• $10.00

• $12.50

• $13.75

What is the total paycheck for the worker including commission?

• $280.00

• $270.25

• $256.50

• $290.00