Inverse Variation Concepts and Problems

The video tutorial explains the concept of inverse variation, where M varies inversely as T. It introduces the inverse variation equation M = K/T and demonstrates how to find the variation constant K using given values of M and T. The tutorial then derives the inverse variation equation and solves for M when T is specified, illustrating the process with step-by-step calculations.

What does it mean when a variable varies inversely with another?

• The product of the two variables is constant.

• The sum of the two variables is constant.

• The difference between the two variables is constant.

• The ratio of the two variables is constant.

In the equation M = K/T, what does K represent?

• The variation constant

• The sum of M and T

• The difference between M and T

• The ratio of M to T

How do you find the variation constant K if M = 9 when T = 6?

• Multiply M by T

• Add M and T

• Multiply M and T

• Divide M by T

What is the value of the variation constant K if M = 9 and T = 6?

• 45

• 15

• 54

• 36

What is the inverse variation equation derived from K = 54?

• M = 54/T

• M = 54 * T

• M = 54 - T

• M = 54 + T

If the variation constant K is 54, what is the equation for M in terms of T?

• M = T/54

• M = T - 54

• M = 54 + T

• M = 54/T

What is the value of M when T = 27 using the equation M = 54/T?

• 4

• 2

• 1

• 3

Using the equation M = 54/T, what is M when T is doubled from 27?

• 1

• 2

• 3

• 4