Direct and Inverse Proportions

The video tutorial covers direct and inverse proportion, explaining the concepts and formulas used to solve related problems. It begins with an introduction to proportion, followed by detailed explanations and examples of direct proportion, including solving problems and advanced cases. The tutorial then shifts to inverse proportion, providing similar explanations and problem-solving techniques. The video concludes with a summary and practice questions to reinforce learning.

What are the two main formulas used in direct and inverse proportion?

• a = k + b and a = k - b

• a = k * b and a = k / b

• a = k - b and a = k * b

• a = k / b and a = k + b

In direct proportion, if x is directly proportional to y, what does it mean?

• x is added to y

• x is subtracted from y

• x is multiplied by a constant to get y

• x is divided by a constant to get y

If G is directly proportional to the square of H, and G = 100 when H = 5, what is the constant k?

• k = 25

• k = 100

• k = 4

• k = 20

When dealing with direct proportion involving cube roots, what is the formula used?

• a = k * cube root of b

• a = k / cube root of b

• a = cube root of k * b

• a = cube root of k / b

In inverse proportion, what does the formula a = k / b imply?

• a is inversely proportional to b

• a is directly proportional to b

• a is equal to b

• a is unrelated to b

If R is inversely proportional to the square root of F, and R = 32 when F = 16, what is the constant k?

• k = 128

• k = 64

• k = 256

• k = 512

In inverse proportion involving squares, if y is inversely proportional to x squared, what is the formula?

• y = x^2 / k

• y = k + x^2

• y = k / x^2

• y = k * x^2