Chapter 13, Problem 52A

Interpretation Introduction

Interpretation:

The effect of change of one variable by changing the other variable is to be discussed if they are directly proportional.

Concept introduction:

Two variables are directly proportional to each other means-

Increasing the value of one variable by particular factor increases the value of other variable by same factor and vice-versa.

Answer to Problem 52A

The value of one variable increases by same factor as the value of other variable increases.

Explanation of Solution

Let there are two variables A and B and they are directly proportional to each other.

Therefore it can be written as:

$\begin{array}{c}A\propto B\\ \therefore A=B\times cons\tan t\end{array}$

Thus increasing the value of B by a factor increases the value of A by same factor.

Conclusion

If two variables are directly proportional to each other, one variable increases on increasing the other one.