Chapter 10.1, Problem 29CCR

To determine

To calculate: Find the constant of proportionality that represents the data.

Answer to Problem 29CCR

Therefore, $\text{constant of proportionality=2}$ .

Explanation of Solution

Given information: The given data is,

Containers	3	6	9	12
Weight(lb)	1.5	3	4.5	6

Calculation: The given data can be evaluated as,

  $\begin{array}{l}y=kx\\ \text{where k is proportionality constant}\text{.}\\ y\text{ is number of containers and }x\text{ is weight}\text{.}\\ y_1=k{x}_1\\ 3=k\times 1.5\\ k=2\\ y_2=k{x}_2\\ 6=k\times 3\\ k=2\end{array}$

Therefore, $\text{constant of proportionality=2}$ .