Direct Variation Problems and Concepts

The video tutorial covers solving direct variation problems, including graphing and calculating constants of variation. It demonstrates solving problems related to weekly pay and distance over time, emphasizing the importance of understanding direct proportionality and using equations in the form y = kx. The tutorial also highlights the grading criteria for these problems.

What is the main focus of the tutorial video?

• Direct variation problems

• Indirect variation problems

• Graphing quadratic functions

• Complex algebraic equations

In a direct variation problem, if y varies directly as x, what is the form of the equation?

• y = k/x

• y = x/k

• y = kx

• y = mx + b

What is the constant of variation if y = 12 when x = 5?

• 5

• 1/5

• 12/5

• 5/12

How do you find the value of x when y = 30 in the equation y = 12/5x?

• Multiply both sides by 5/12

• Divide both sides by 12/5

• Add 12 to both sides

• Subtract 5 from both sides

What is the purpose of the butterfly method in solving direct variation problems?

• To simplify complex equations

• To find the y-intercept

• To set up and solve proportions

• To graph the equation

How many points is each problem worth in the grading criteria?

• 10 points

• 15 points

• 20 points

• 25 points

In the second problem, what is directly proportional to Heather's weekly pay?

• The number of hours she works

• The number of days she works

• The number of weeks she works

• The number of months she works

What is the simplified constant of variation for Heather's pay if she earns $174 for 24 hours?

• 87/12

• 29/4

• 1/5

• 174/24

What is the equation of variation for Heather's weekly pay problem?

• y = 174/24x

• y = 29/4x

• y = 5/12x

• y = 1/5x

In the third problem, what is the relationship between distance and time?

• Distance varies directly with time

• Distance is constant over time

• Distance varies inversely with time

• Distance is unrelated to time