Understanding Inequalities and Tile Purchasing

A contractor wants to buy stone tiles for a patio, each costing $3, with a budget of less than $1,000. The video explains how to set up and solve an inequality to determine the maximum number of tiles he can purchase. The solution involves dividing the budget by the cost per tile, resulting in a maximum of 333 tiles. Since each tile covers one square foot, the patio can be less than 333 square feet.

What is the cost of each stone tile the contractor is purchasing?

• $2

• $3

• $4

• $5

What is the maximum amount the contractor wants to spend on tiles?

• $1,000

• $1,500

• $2,000

• $500

Which inequality represents the number of tiles the contractor can buy?

• 3x = 1,000

• 3x > 1,000

• 3x ≤ 1,000

• 3x < 1,000

Why is it important that the inequality is less than and not less than or equal to?

• To ensure the budget is not exceeded

• To allow for more tiles

• To simplify calculations

• To make the problem easier

What operation is used to solve the inequality 3x < 1,000?

• Addition

• Subtraction

• Division

• Multiplication

What is the maximum number of tiles the contractor can purchase?

• 333 and 1/3

• 334

• 333

• 332

If each tile is one square foot, what is the maximum area of the patio?

• 333 square feet

• 334 square feet

• 333 and 1/3 square feet

• 332 square feet

What would change if the inequality was less than or equal to?

• The number of tiles would increase

• The number of tiles would decrease

• The cost per tile would change

• The size of each tile would change