R. D. Sharma Solutions for Chapter: Direct and Inverse Variations, Exercise 1: EXERCISE

Are the following quantities vary directly with each other?

Weight of articles $\left(x\right)$ and their cost $\left(y\right)$.

Is the following quantities vary directly with each other?
Distance $x$ and time $y$, speed remaining the same.

Are the following quantities vary directly with each other?
Wages $\left(y\right)$ and number of hours $\left(x\right)$ of work.

Are the following quantities vary directly with each other?
Speed $\left(x\right)$ and time $\left(y\right)$ (distance covered remaining the same).

Are the following quantities vary directly with each other?
Area of a land $\left(x\right)$ and its cost $\left(y\right)$.

Two quantities are said to vary _____ with each other if they increase (decrease) together in such a way that the ratio of the corresponding values remains same.

Complete the following table given that $x$ varies directly as $y$.

Find the constant of variation from the table given below:

$\begin{array}{|lllll|}\hline \mathbf{x}& \mathbf{3}& \mathbf{5}& \mathbf{7}& \mathbf{9}\\ \mathbf{y}& \mathbf{12}& \mathbf{20}& \mathbf{28}& \mathbf{36}\\ \hline\end{array}$

Set up table and solve the problem. Use unitary method to verify the answer.