Question

How can you find the constant of proportionality

for the ratio of price to number of bouquets from the table?

Answer 1

Divide the price of each bouquet by the number of bouquets for each set of values. All the ratios are 3, which is a constant of proportionality of 3.

Explanation:

I took the quiz, that was the sample answer! :)

Answer 2

the constant of proportionality is simply the slope of the relation, and to find the slope, all we need is two points off the table.

`\bf \begin{array} \cline{1-5} Bouquets&3&6&9&12\\ \cline{1-5} Price&9&18&27&36 \\ \cline{1-5} \end{array}\qquad \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{27}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{27-9}{9-3}\implies \cfrac{18}{6}\implies 3`