Sales Tax and Inequalities

The video tutorial covers solving inequalities, calculating sales tax, determining markup percentages, and computing commission-based paychecks. It begins with understanding inequalities through Priya's example, followed by solving a store inventory inequality. The tutorial then explains graphing inequalities on a number line. It proceeds to calculate sales tax on a shirt, determine the markup percentage on a helmet, and finally, compute a paycheck with commission. Each section includes examples and step-by-step solutions to enhance understanding.

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

• A result equal to 12

• A result greater than 5

• A result equal to 5

• A result smaller than 5

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

• To make the result equal to 12

• To keep the result greater than 5

• To make the result equal to 0

• To make the result less than 5

In the store's shirt display problem, what does the three-fifths represent?

• Total shirts in stock

• Shirts sold

• Shirts on display that didn't sell

• Shirts brought from the stock room

What is the solution to the inequality in the store's problem?

• x is less than or equal to 200

• x is less than 200

• x is greater than or equal to 200

• x is greater than 200

What is the first step in solving the inequality in the third section?

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the final solution for the inequality in the third section?

• x is equal to 5

• x is greater than 5

• x is greater than or equal to 5

• x is less than or equal to 5

How is the sales tax calculated in the fourth section?

• By adding 5% to the price

• By dividing the price by 107.5%

• By multiplying the price by 107.5%

• By subtracting 7.5% from the price

What is the total cost of the shirt including sales tax?

• $14.00

• $13.52

• $13.00

• $12.58

What is the markup percentage on the helmet?

• 66%

• 50%

• 75%

• 100%

How much does the worker earn in total for 18 hours of work and $250 in sales?

• $300.00

• $270.25

• $256.50

• $350.00