Question

1. determine if the graph is proportional, if it is, state the constant of proportionality. yes, k=5 no yes, k=6 yes, k=8

Explanation:

Step1: Recall proportional graph rules

A proportional graph must be a straight line passing through the origin \((0,0)\), and the ratio \(\frac{y}{x}\) is constant for all points.

Step2: List plotted points

From the graph, the points are \((1,6)\), \((2,10)\), \((3,12)\), \((0,5)\).

Step3: Check origin & ratio consistency

The line does not pass through \((0,0)\) (the first point is \((0,5)\)). Calculate ratios:
$\frac{6}{1}=6$, $\frac{10}{2}=5$, $\frac{12}{3}=4$. Ratios are not equal.

Answer:

no