Inverse and Direct Variation Concepts

The video tutorial covers section 7.1 on inverse variation in Algebra 2. It begins with an introduction to the concepts of direct and inverse variation, explaining how variables relate through these patterns. The tutorial provides examples to identify direct and inverse variations, including solving typical problems and applying these concepts to real-world scenarios, such as pressure and surface area relationships. The session concludes with a review of the key ideas, preparing students for assignments involving functions with fractions.

What is the formula for direct variation?

• y = kx

• x = ky

• x = y/k

• y = k/x

In the equation y = 4x, what type of variation is represented?

• Inverse variation

• Neither

• Both

• Direct variation

In a direct variation, if y = 9 when x = 3, what is the value of y when x = 6?

• 12

• 9

• 6

• 18

If the product of x and y is constant, what type of variation is this?

• Inverse variation

• Neither

• Both

• Direct variation

How do you find the constant of variation in an inverse variation problem?

• Multiply x and y

• Divide y by x

• Cross-multiply the given values

• Subtract x from y

In an inverse variation, if x = -4 and y = -5/4, what is the constant of variation?

• -4

• 4

• 5

• -5

Tags

CCSS.8.EE.C.7B

What happens to the pressure on snow when the surface area of the boots decreases?

• Pressure becomes zero

• Pressure remains constant

• Pressure increases

• Pressure decreases

Which of the following is an example of inverse variation?

• y = 3/x

• y = 3x

• y = x + 3

• y = x - 3

If y varies inversely with x and y = 5 when x = 3, what is the value of y when x = 6?

• 1.5

• 5

• 10

• 2.5

What is the relationship between pressure and area in the context of standing on snow?

• Inverse variation

• Direct variation

• Both

• Neither