This video tutorial covers various mathematical problems involving inequalities and proportional relationships. It begins with an introduction to inequalities, followed by practical problems such as Elena's movie download issue, Kieran's box packing, Priya's candle burning, and Andre's shopping budget. The video also explores calculating resale prices and meal costs with tips. Finally, it delves into understanding proportional relationships, providing a comprehensive overview of these mathematical concepts.

What mistake did Elena make in her inequality for downloading movies?

• She overestimated the size of each movie.

• She forgot to include the space for the operating system.

• She underestimated the space taken by other files.

• She incorrectly solved the inequality.

How many movies can Elena download if each movie is 8 GB and 58 GB is already used?

• 55

• 56

• 54

• 53

What is the maximum weight each of Kieran's nine boxes can hold if the total weight cannot exceed 100 lb?

• 9 lb

• 10 lb

• 8.5 lb

• 9.5 lb

If Kieran's tenth box weighs 14.5 lb, what is the total weight of the other nine boxes?

• 85.5 lb

• 86 lb

• 84 lb

• 87 lb

What is the maximum rate at which Priya's candle can burn to be less than 6 inches after 4 hours?

• 1 inch per hour

• 1.25 inches per hour

• 1.5 inches per hour

• 2 inches per hour

How tall will Priya's candle be after 4 hours if it burns at 1.5 inches per hour?

• 4 inches

• 5 inches

• 6 inches

• 7 inches

How many pairs of socks can Andre buy if he spends $65 on shoes and each pair of socks costs $2.50?

• 10 pairs

• 9 pairs

• 8 pairs

• 11 pairs

What is the total cost of Andre's purchase if he buys 10 pairs of socks?

• $95

• $85

• $80

• $90

If an antique store buys a mirror for $130 and sells it for 50% more, what is the selling price?

• $195

• $180

• $190

• $200

What is the total cost of Tyler's meal before the tip if he orders an appetizer, steak, soda, and pie?

• $28

• $29

• $30

• $27