Word Problem Finding when the distance and the price is equal - cool math

The video tutorial explains how to solve a word problem involving truck rental costs from two companies. The problem requires finding the mileage at which the costs from both companies are equal. The instructor defines variables, sets up equations, and solves for the number of miles. The solution involves understanding cost structures, using equations, and isolating variables to find the answer.

What is the daily rate charged by Sunshine Truck Rentals?

• $0.46 per mile

• $0.48 per mile

• $58.95

• $57.99

How much does City Rentals charge per mile?

• $58.95

• $0.48

• $0.46

• $57.99

What is the equation used to find the mileage where both companies' costs are equal?

• 57.99 + 0.48 = 58.95 + 0.46

• 57.99x + 0.48 = 58.95x + 0.46

• 57.99 + 0.46x = 58.95 + 0.48x

• 57.99 + 0.48x = 58.95 + 0.46x

What is the first step in solving the equation for the mileage?

• Divide both sides by 0.02

• Multiply both sides by 2

• Subtract 0.46x from both sides

• Add 0.48x to both sides

At what mileage do the costs of both companies become equal?

• 48 miles

• 50 miles

• 46 miles

• 52 miles