Direct Variation and Distance Problems

The video tutorial explains the concept of direct variation, using the example of Elias driving to Houston at 60 miles per hour. It guides students on setting up the problem using boxes and emphasizes the importance of understanding the role of variables, specifically Y and X. The tutorial then demonstrates how to solve the problem by cross-multiplying and dividing to find the answer.

What is the speed of Elias's car as he drives to Houston?

• 60 miles per hour

• 80 miles per hour

• 50 miles per hour

• 70 miles per hour

In a direct variation, how do the number of miles driven and the number of hours relate?

• They are inversely proportional

• They are equal

• They are unrelated

• They are directly proportional

What is the first step in setting up a direct variation problem?

• Divide the variables

• Set up boxes for cross multiplication

• Subtract the variables

• Add the variables

In the context of direct variation, which variable is typically represented by Y?

• Hours

• Miles

• Speed

• Distance

When setting up a direct variation equation, which variable is placed on top?

• Hours

• Miles

• Speed

• Time

How is the initial setup of the equation represented with the given speed of 60 miles per hour?

• 1 times 60

• 60 over 1

• 1 over 60

• 60 times 1

If Elias drives for 1.5 hours, where should this value be placed in the equation setup?

• In the middle

• It doesn't matter

• On the bottom

• On top

What mathematical operation is used after setting up the equation to find the unknown?

• Cross multiplication

• Division

• Subtraction

• Addition

What is the final step to solve for the unknown in a direct variation problem?

• Cross multiply and divide

• Multiply the variables

• Subtract the variables

• Add the variables

What is the distance Elias travels if he drives for 1.5 hours at 60 miles per hour?

• 150 miles

• 120 miles

• 90 miles

• 60 miles