Chapter 8.6, Problem 29SR

To determine

whether a proportional linear relationship exists between the two qunatitites.

Answer to Problem 29SR

The two quantitates shown in above graph is not proportional liner relationship.

Explanation of Solution

Given: Consider the graph below as represents relationship between two quantitates.

  

Calculation:

Now find the slop using points $(1,3)and(7.8,24)$

So,

  $\begin{array}{l}m=\frac{24-3}{7.8-1}\\ \text{ =}\frac{21}{6.8}\\ \text{ =3}\text{.1}\end{array}$

Now find the equation of the line using slope and the point

  $\begin{array}{l}y-4=(3.1)(x-7.8)\\ y-24=3.1x-24.18\end{array}$

Take constants on one side

  $y=3.1x-0.18$

As the equation of the line contains constant value, there is no proportional liner relationship presents between two quantities.

Conclusion:

Therefore, the two quantitates shown in above graph is not proportional liner relationship.