Car Rental and Inequalities

The video tutorial covers Lesson 15 on graphing solutions to inequalities. It includes three exercises: determining the maximum width of cars that can fit in a garage, calculating the number of weeks needed to reduce a car dealership's inventory, and finding the maximum number of days a car can be rented within a budget. The lesson concludes with a review of graphing inequalities and a homework assignment.

What is the total width of the garage opening in feet?

• 22.5 feet

• 23 feet

• 23.5 feet

• 24 feet

How many feet of clearance is required between the cars and the garage edges?

• 4 feet

• 3 feet

• 2.5 feet

• 3.5 feet

What is the inequality used to represent the car width problem?

• 2c + 10 ≤ 23.5

• 2c + 11 ≤ 23.5

• 2c + 9 ≤ 23.5

• 2c + 10.5 ≤ 23.5

How many cars are initially on the dealership lot?

• 500

• 575

• 525

• 550

What is the inequality to find the number of weeks to reduce cars to less than 75?

• 525 - 50w < 75

• 525 - 50w ≤ 75

• 525 - 50w ≥ 75

• 525 - 50w > 75

What does the solution w > 9 mean in the context of the dealership problem?

• It takes exactly 9 weeks to have less than 75 cars.

• It takes exactly 9 weeks to sell all cars.

• It takes more than 9 weeks to have less than 75 cars.

• It takes more than 9 weeks to sell all cars.

What is the daily rental cost of the car?

• $30

• $25

• $35

• $20

What is the one-time insurance fee for renting the car?

• $75.00

• $70.50

• $80.00

• $75.50

What is the inequality used to determine the maximum rental days?

• 25x + 75.50 > 525

• 25x + 75.50 ≤ 525

• 25x + 75.50 ≥ 525

• 25x + 75.50 < 525

How many days can the car be rented without exceeding the budget?

• 19 days

• 16 days

• 17 days

• 18 days