The video tutorial covers the concept of using graphs and equations to represent proportional relationships. It explains the constant of proportionality and how to determine if a relationship is proportional by examining graphs. The tutorial includes examples such as the speed of a subway car and temperature changes over time to illustrate these concepts. Students are encouraged to practice identifying proportional relationships and understanding unit rates.

What is a proportion in mathematical terms?

• Two numbers that are equal

• Two equations that are equal

• Two variables that are equal

• Two fractions that are equal

In the context of the video, what does a constant rate of 60 miles per hour imply?

• The speed is constant over time

• The speed increases over time

• The speed varies with time

• The speed decreases over time

What does the constant of proportionality represent in a proportional relationship?

• The subtractive relationship between quantities

• The divisive relationship between quantities

• The additive relationship between quantities

• The multiplicative relationship between quantities

What is another term for the constant of proportionality?

• Inverse variation

• Direct variation

• Quadratic variation

• Linear variation

How can you determine if a graph represents a proportional relationship?

• If the graph has a positive slope

• If the graph is a curve

• If the graph passes through the origin

• If the graph is a straight line

If a graph of a relationship does not pass through the origin, what can be concluded?

• The relationship is quadratic

• The relationship is proportional

• The relationship is linear

• The relationship is not proportional

What is the unit rate of a subway car that travels 1 mile in 2 minutes?

• 2 miles per minute

• 0.25 miles per minute

• 0.5 miles per minute

• 1 mile per minute

How do you calculate the speed of a subway car from a graph?

• By finding the area under the line

• By finding the slope of the line

• By finding the y-intercept of the line

• By finding the x-intercept of the line

What happens to the temperature every half hour after midnight in the given example?

• It fluctuates randomly

• It decreases by 2 degrees

• It increases by 2 degrees

• It remains constant

What is the equation used to determine the temperature after a certain number of hours past midnight?

• y = 42 - 4x

• y = 42 - 2x

• y = 42 + 4x

• y = 42 + 2x