Direct and Inverse Variation Concepts

The video tutorial covers direct and inverse variation, explaining the concepts and formulas for each. Direct variation is described as a relationship where one variable increases with another, while inverse variation involves one variable increasing as the other decreases. The tutorial includes examples and problem-solving steps for both types of variation, helping students understand how to apply these concepts in different scenarios.

What is the relationship between variables in direct variation?

• As one variable increases, the other decreases.

• As one variable increases, the other also increases.

• There is no relationship between the variables.

• As one variable increases, the other remains constant.

Which formula represents direct variation?

• y = x - k

• y = x + k

• y = kx

• y = k/x

In the formula y = kx, what does 'k' represent?

• A function

• A coefficient

• A constant

• A variable

If the tension in a spring varies directly with the distance stretched, what happens to the tension as the distance increases?

• The tension decreases.

• The tension remains the same.

• The tension increases.

• The tension becomes zero.

How do you find the constant 'k' in a direct variation problem?

• Subtract the variables.

• Multiply the variables.

• Divide the dependent variable by the independent variable.

• Add the variables.

In a direct variation problem, if y = 8 when x = 2, what is the value of 'k'?

• 2

• 4

• 8

• 16

What is the formula for height varying directly with shoulder width?

• h = s + k

• h = s/k

• h = ks

• h = k/s

If a person's height is 70 inches and shoulder width is 17.5 inches, what is the constant 'k'?

• 2

• 4

• 3

• 5

What does inverse variation imply about the relationship between two variables?

• There is no relationship.

• As one variable increases, the other increases.

• As one variable increases, the other decreases.

• Both variables remain constant.

Which formula represents inverse variation?

• y = x - k

• y = k/x

• y = x + k

• y = kx