Chapter 5.2, Problem 19PPE

To determine

To determine variation equation that relates $x$ and $y.$

Answer to Problem 19PPE

  $y=2.6\times x$

Explanation of Solution

Given:

  $y=10.4$ when $x=4$

  $x=12$

Calculation:

Let’s consider the equation as,

  $\Rightarrow y=kx$

Substituting the values of $x$ and $y$ ,

  $\Rightarrow 10.4=k\times 4$

  $\Rightarrow \frac{10.4}{4}=k$

  $\Rightarrow k=2.6$

So,

  $\Rightarrow y=kx$

  $\Rightarrow y=2.6\times x\to (i)$

Now, when the value of $x=12$ ,

Value of $y$ is,

Putting the value $x$ in equation (i),

  $\Rightarrow y=2.6\times 12$

  $\Rightarrow y=31.2$

Conclusion:

Therefore, the variation equation that relates $x$ and $y$ is $y=2.6\times x.$