Distance, Rate, and Slope Concepts

The video tutorial explains direct variation using the distance formula, where distance equals rate times time. It provides a sample problem involving a driving scenario to calculate the rate of travel. The tutorial demonstrates how to use ordered pairs and the slope formula to find the rate in miles per hour. It further explains how to calculate the distance traveled over a specific time and how to determine the time required to travel a given distance using the rate. The tutorial concludes with practical applications of these calculations.

What is the general form of a direct variation equation?

• Y = K * X

• Y = K - X

• Y = K + X

• Y = K / X

In the distance formula, what does the constant of variation 'K' represent?

• Distance

• Speed

• Time

• Rate

How can the given information in the sample problem be represented?

• As a single number

• As a graph

• As ordered pairs

• As a table

What is the purpose of determining the slope in the sample problem?

• To find the time

• To find the rate of travel

• To find the distance

• To find the speed

What is the formula used to calculate the slope in the sample problem?

• Y2 / Y1 - X2 / X1

• Y2 * Y1 / X2 * X1

• Y2 - Y1 / X2 - X1

• Y2 + Y1 / X2 + X1

What is the rate of travel calculated in the sample problem?

• 64 miles per hour

• 62 miles per hour

• 66 miles per hour

• 60 miles per hour

How far would you travel in 7 hours at the calculated rate?

• 462 miles

• 448 miles

• 434 miles

• 420 miles

What is the formula used to calculate the distance traveled?

• Distance = Rate / Time

• Distance = Rate * Time

• Distance = Rate - Time

• Distance = Rate + Time

How long will it take to travel 465 miles at the calculated rate?

• 8 hours

• 7 hours

• 6.5 hours

• 7.5 hours

What operation is used to solve for time in the distance formula?

• Subtraction

• Addition

• Multiplication

• Division