Car Rental Cost and Inequalities

The video tutorial explains how to determine the maximum number of miles Hannah can drive a rental car without exceeding her $40 budget. It sets up an equation based on the rental company's charges and solves an inequality to find the maximum miles. The solution is interpreted carefully, considering the need to round down to avoid exceeding the budget.

What is the initial cost of renting the car before considering the miles driven?

• $18.95

• $17.00

• $40.00

• $21.05

How much does the rental company charge per mile driven?

• $0.17

• $0.18

• $0.15

• $0.20

What variable is used to represent the number of miles driven?

• y

• m

• x

• n

What is the expression for the total cost of renting the car?

• 18.95m + 0.17

• 18.95m + 17

• 18.95 + 0.17m

• 0.17 + 18.95m

What is the first step in solving the inequality for m?

• Divide both sides by 0.17

• Multiply both sides by 0.17

• Add 18.95 to both sides

• Subtract 18.95 from both sides

After subtracting 18.95 from both sides, what is the resulting inequality?

• m ≤ 21.05

• 0.17m ≥ 21.05

• 0.17m ≤ 21.05

• m ≥ 21.05

What is the final step to solve for m in the inequality?

• Subtract 0.17 from both sides

• Divide both sides by 0.17

• Multiply both sides by 0.17

• Add 0.17 to both sides

Why do we round down the number of miles Hannah can drive?

• To ensure the cost does not exceed $40

• To make the calculation easier

• To avoid driving too much

• To save on fuel costs

What is the maximum number of miles Hannah can drive without exceeding her budget?

• 125 miles

• 123 miles

• 120 miles

• 124 miles

What is the total cost of renting the car if Hannah drives the maximum number of miles?

• $40.00

• $39.95

• $38.95

• $41.00