Comparing Van Rental Costs

The video tutorial explains how to translate a word problem into an inequality to determine which van rental company offers a cheaper option based on mileage. Company A charges a flat rate of $750, while Company B charges $400 plus $0.80 per mile. The tutorial guides viewers through setting up and solving the inequality, concluding that Company A is cheaper if more than 437.5 miles are driven.

What is the main objective of the word problem involving Marissa?

• To calculate the distance Marissa needs to travel.

• To find the total cost of renting a van.

• To determine which company offers a cheaper van rental option.

• To compare the fuel efficiency of two vans.

How much does Company A charge for unlimited mileage?

• $480

• $750

• $0.80 per mile

• $400

What is the initial fee charged by Company B?

• $400

• $480

• $750

• $0.80 per mile

How much does Company B charge per mile?

• $0.60

• $0.50

• $1.00

• $0.80

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

• n

• x

• m

• y

What inequality represents the condition where Company A is cheaper than Company B?

• 750 + 0.8m < 400

• 750 < 400 + 0.8m

• 750 > 400 + 0.8m

• 750 = 400 + 0.8m

What is the first step in solving the inequality 750 < 400 + 0.8m?

• Divide both sides by 0.8.

• Multiply both sides by 0.8.

• Subtract 400 from both sides.

• Add 400 to both sides.

After subtracting 400 from both sides, what is the resulting inequality?

• 350 > 0.8m

• 350 + 0.8m < 0

• 350 = 0.8m

• 350 < 0.8m

What is the final step to solve the inequality 350 < 0.8m?

• Multiply both sides by 0.8.

• Divide both sides by 0.8.

• Subtract 0.8 from both sides.

• Add 0.8 to both sides.

What is the minimum number of miles Marissa must drive for Company A to be cheaper?

• 350 miles

• 400 miles

• 500 miles

• 437.5 miles