Chapter 1.11, Problem 49E

To determine

To find:

The equation is not satisfy the proportinality

Answer to Problem 49E

The equation $y=mx$ is not satisfies a proportionality

Explanation of Solution

Given:

  $y$ varies directly as $x$ or $y$ is directly proportional to $x$

Concept used:

If the quantities $x$ and $y$ are related by an equation

  $y=kx$

For some constant $k\ne 0$

That is y varies directly as $x$ or y is directly proportional to $x$

The constant $k$ is called constant proportionality

Calculation:

If the quantities $y$ and $x$ are related by an equation

  $y\alpha x$

  $y=mx$

For some constant $k\ne 0$

That is $y$ varies directly as $x$ or $y$ is directly proportional to $x$

The constant $k$ is called constant proportionality

The equation of motion are non-propostional equation

  $\begin{array}{l}{v}_f=at+v_i\\ {\left(v_f\right)}^2=2ad+{\left(v_i\right)}^2\\ d=v_{i}t+\frac{1}{2}a{t}^2\end{array}$

Where

  $\begin{array}{l}{v}_f=\text{final}\text{velocity}\\ v_i=\text{initial}\text{velocity}\\ a=\text{acceleration}\\ t=\text{time}\\ d=\text{distance}\end{array}$

The equation $y=mx$ is not satisfies a proportionality