Electricity and Mathematics: Understanding Inverse Proportion

The video tutorial explains inverse proportion, where one value increases as another decreases at the same rate. It introduces the equation y = k/x, where k is the constant of proportionality. The tutorial covers applications in science, such as gas volume and pressure, and provides step-by-step examples of solving inverse proportion problems. It also addresses nonlinear cases involving squared terms, emphasizing the importance of understanding the equation y = k/x for forming equations and finding constants.

What is the equation used to represent inverse proportion?

• y = kx

• y = k/x

• y = x + k

• y = x/k

In which field is inverse proportion commonly applied?

• Literature

• Science

• Art

• History

If y is inversely proportional to x, and y = 10 when x = 1.5, what is the value of k?

• 5

• 1.5

• 15

• 10

Given p is inversely proportional to t, and p = 16 when t = 2, what is the value of p when t = 8?

• 8

• 16

• 2

• 4

If p = 64 in an inverse proportion equation where p = 32/t, what is the value of t?

• 4

• 1

• 0.5

• 2

In an inverse proportion problem involving squared terms, if s = 125 when f = 8, what is the value of k?

• 8000

• 125

• 64

• 500

For the equation s = k/f^2, if f = 4 and k = 8000, what is the value of s?

• 125

• 500

• 1000

• 2000