Solving Word Problems with Unit Rates and Proportions

The video tutorial explains a word problem involving distance, time, and speed. It breaks down the problem into two parts: finding the rate of speed and calculating the distance traveled in seven hours. The instructor uses proportions to determine the unit rate of speed, which is 58 miles per hour, and then applies this rate to find that Accio can drive 406 miles in seven hours. The tutorial concludes with a summary of the solutions and encourages viewers to subscribe for more content.

What was the total distance Accio drove in the initial scenario?

• 232 miles

• 58 miles

• 406 miles

• 7 miles

How many hours did Accio drive to cover the initial distance?

• 10 hours

• 1 hour

• 7 hours

• 4 hours

What does a rate compare in this context?

• Time to speed

• Miles to hours

• Hours to days

• Speed to acceleration

What mathematical method was used to find the unit rate?

• Division only

• Cross multiplication

• Subtraction

• Addition

What is the unit rate of Accio's driving in miles per hour?

• 232 mph

• 58 mph

• 406 mph

• 7 mph

How far can Accio drive in one hour based on the unit rate?

• 58 miles

• 232 miles

• 406 miles

• 7 miles

What operation is used to solve for the unit rate after cross multiplying?

• Subtraction

• Addition

• Multiplication

• Division

How many miles can Accio drive in seven hours using the unit rate?

• 406 miles

• 700 miles

• 232 miles

• 58 miles

What is the purpose of setting up a proportion in this problem?

• To find the total time

• To calculate speed

• To determine distance over time

• To compare different rates

What final calculation is performed to find out how far Accio can drive in seven hours?

• 232 times 7

• 406 divided by 7

• 58 times 7

• 58 divided by 7