Direct Variation and Proportionality Concepts

The video tutorial explains direct variation, a type of linear equation where the relationship between two variables is proportional. It covers graphing direct variation, real-world applications like quiz scores and data usage costs, and examples such as renting video games and calculating weight on Titan. The tutorial also discusses factory worker wages as a direct variation example, emphasizing the concept of slope and its real-world implications.

What is direct variation?

• A type of exponential equation

• A type of logarithmic equation

• A type of linear equation

• A type of quadratic equation

In direct variation, what does the constant of proportionality represent?

• The midpoint

• The slope

• The x-intercept

• The y-intercept

What is the graphical representation of a direct variation equation?

• A curve

• A straight line through the origin

• A circle

• A parabola

If each quiz problem is worth 2 points, what is the slope of the line representing this relationship?

• 3

• 0.5

• 2

• 1

In the context of data cost, what does a slope of 10 represent?

• 10 dollars per megabyte

• 10 megabytes per dollar

• 10 dollars per gigabyte

• 10 gigabytes per dollar

How much does it cost to rent 3 video games if each costs $4?

• $8

• $12

• $16

• $20

If an object weighs 105 pounds on Earth, how much does it weigh on Titan?

• 25 pounds

• 20 pounds

• 10 pounds

• 15 pounds

What is the equation to predict the weight of an object on Titan based on its Earth weight?

• y = 10x

• y = 17x

• y = 15x

• y = 7x

If a factory worker assembles 250 parts and earns $75, what is the constant of proportionality?

• 0.6

• 0.5

• 0.4

• 0.3

How much does a worker earn for assembling 300 parts?

• $95

• $80

• $85

• $90