Banquet Room and Phone Plan Costs

The video tutorial explains how to set up and solve inequalities for two real-world problems: renting a banquet room and managing a phone plan. The first problem involves calculating the maximum hours a club can rent a banquet room given a budget, a down payment, and an hourly rate. The second problem involves determining the maximum data usage for a phone plan under a budget, considering a monthly fee and a per-megabyte charge. Both problems are solved using algebraic inequalities.

What is the initial down payment required for renting the banquet room?

• $132.40

• $200.00

• $150.00

• $116.90

How much does the banquet room cost per additional hour?

• $150.00

• $200.00

• $116.90

• $132.40

What is the maximum amount the club can spend on renting the banquet room?

• $132.40

• $116.90

• $200.00

• $150.00

Which variable represents the number of hours the banquet room can be rented?

• R

• H

• T

• X

What inequality represents the total cost of renting the banquet room?

• 200 + 132.40T ≤ 116.90

• 116.90 + 132.40T ≤ 200

• 132.40T + 116.90 ≤ 200

• 132.40 + 116.90T ≤ 200

After setting up the inequality, what is the next step to solve it?

• Add 132.40 to both sides

• Subtract 132.40 from both sides

• Multiply both sides by 116.90

• Divide both sides by 200

What is the maximum number of hours the club can rent the banquet room?

• 3 hours

• 4 hours

• 5 hours

• 6 hours

What is the initial monthly charge for the phone plan?

• $112.50

• $1.35

• $153.00

• $100.00

How much does the phone company charge per megabyte of data used?

• $100.00

• $1.35

• $112.50

• $153.00

What is the maximum amount the individual wants to spend on their phone plan?

• $100.00

• $153.00

• $1.35

• $112.50