Running Distances and Paces Analysis

The video tutorial explores a practice problem from a lesson on linear relationships, focusing on Tyler and Elena's running speeds. It analyzes their running paces using proportional relationships, calculating how far each runs in 10 minutes and determining who is faster. The tutorial explains the concept of constant proportionality, unit rate, and slope, and compares the running performances of Tyler and Elena, concluding that Tyler runs faster and farther in the given time.

What is the main focus of the problem involving Tyler and Elena?

• The type of terrain they run on

• Their favorite running shoes

• Their diet and nutrition

• Who runs faster and farther in 10 minutes

What is Elena's pace per mile according to her running equation?

• 7 minutes per mile

• 9 minutes per mile

• 8.5 minutes per mile

• 8 minutes per mile

How far does Elena run in 10 minutes?

• 1.5 miles

• 2 miles

• 1.18 miles

• 1 mile

What is Tyler's pace per mile?

• 8 minutes per mile

• 8.33 minutes per mile

• 9 minutes per mile

• 7.5 minutes per mile

How is the constant of proportionality related to Tyler's running?

• It is the distance he runs in 10 minutes

• It represents the number of miles he runs in an hour

• It is the same as his shoe size

• It is the time it takes him to run one mile

How far does Tyler run in 10 minutes?

• 1.2 miles

• 1.5 miles

• 1.33 miles

• 1.4 miles

What mathematical operation is used to find Tyler's distance in 10 minutes?

• Multiplication by the reciprocal

• Subtraction

• Addition

• Division by the constant

Who runs faster, Tyler or Elena?

• Elena

• Tyler

• It cannot be determined

• They run at the same speed

How much longer does it take Elena to run a mile compared to Tyler?

• 10 seconds

• 5 seconds

• 15 seconds

• 20 seconds

What is the difference in distance covered by Tyler and Elena in 10 minutes?

• 0.02 miles

• 0.05 miles

• 0.15 miles

• 0.1 miles