Understanding Paychecks and Inequalities

The video tutorial covers various mathematical problems involving inequalities, sales tax, markup, and commission calculations. It begins with understanding inequalities through a practical example, followed by solving a problem about shirts on display using inequalities. The tutorial then moves on to graphing inequalities on a number line. It also includes calculating sales tax on a shirt purchase, determining the markup percentage on a helmet, and calculating total pay with hourly wage and commission.

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

• A result equal to 12

• A result greater than 5

• A result smaller than 5

• A result equal to 5

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

• To keep the result greater than 5

• To make the result equal to 0

• To make the result equal to 12

• To make the result less than 5

What does the 3/5 represent in the store's inequality?

• Total shirts in stock

• Shirts returned

• Shirts on display that didn't sell

• Shirts sold

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

• x ≤ 200

• x ≥ 150

• x ≤ 150

• x ≥ 200

What is the correct range of solutions for the inequality problem solved and graphed?

• x > 5

• x < 5

• x ≥ 5

• x ≤ 5

How much is the sales tax on a shirt priced at $12.58 with a 7.5% tax rate?

• $0.94

• $0.97

• $0.96

• $0.95

What is the markup percentage for a helmet bought for $19 and sold for $31.50?

• 50%

• 60%

• 70%

• 66%

How much does a worker earn for 18 hours at $14.25 per hour?

• $259.50

• $256.50

• $257.50

• $258.50

What is the commission earned on $250 worth of sales at a 5.5% rate?

• $14.25

• $14.00

• $13.50

• $13.75

What is the total paycheck for a worker who earns $256.50 from hours worked and $13.75 from commission?

• $270.00

• $270.25

• $270.50

• $270.75