Walking and Driving Rate Problems

The video tutorial covers proportional relationships, focusing on constant rates of change. It uses examples of Paul, Wesley, Stephanie, and Dave to illustrate how to calculate the constant of proportionality and write linear equations. The tutorial also includes exercises on completing tables and solving for unknowns using these equations.

What is the constant rate of change in Paul's walking example?

• 3 miles per 25 minutes

• 5 miles per 25 minutes

• 2 miles per 25 minutes

• 4 miles per 25 minutes

How many miles can Paul walk in 137.5 minutes?

• 10 miles

• 12 miles

• 13 miles

• 11 miles

What is the constant of proportionality (K) in Wesley's walking example?

• 0.04 miles per minute

• 0.05 miles per minute

• 0.07 miles per minute

• 0.06 miles per minute

How many miles can Wesley walk in 15 minutes?

• 0.8 miles

• 1.1 miles

• 0.9 miles

• 1.0 miles

What is the constant speed (K) in Stephanie's driving example?

• 45 mph

• 40 mph

• 35 mph

• 30 mph

How long will it take Stephanie to drive 15 miles?

• 0.73 hours

• 0.63 hours

• 0.53 hours

• 0.43 hours

What is the constant of proportionality (K) in Dave's travel example?

• 0.418 miles per minute

• 0.518 miles per minute

• 0.218 miles per minute

• 0.318 miles per minute

How many miles does Dave travel in 30 minutes?

• 8.54 miles

• 5.54 miles

• 6.54 miles

• 7.54 miles

What is the purpose of finding the constant of proportionality?

• To calculate the average speed

• To find the time taken for a journey

• To determine the total distance traveled

• To write an equation representing the relationship

Why is it important to round answers to the nearest hundredth in Dave's example?

• To simplify calculations

• To ensure accuracy

• To match the format of the table

• To avoid errors in measurement