Chapter 11.6, Problem 38PPE

To determine

To prove that the formula of time represent a direct variation or an inverse variation. $t=\frac{150}{r}$ .

Answer to Problem 38PPE

The reason is given in last of explanation

Explanation of Solution

Given:

Given

  $t=\frac{150}{r}$

Calculation:

in order to solve the question firstly we show the time given in question

  $\begin{array}{l}t=\frac{150}{r}\\ astisy,andrisx\\ \end{array}$ ,

So form the concept of inverse variation

  $xy=k$ or $y=\frac{k}{x}$

So time $t$ is $y$ , rate $r$ is $x$ and the constant of variation $k$ is $150$

So as form the above expression it is inverse variation

Hence proved

Thus, the solution is correct.