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How can you find the constant of proportionality
for the ratio of price to number of bouquets from the table?

How can you find the constant of proportionality for the ratio of price to number of bouquets from the table class=

Respuesta :

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.


[tex]\bf \begin{array}{|c|c|c|c|c|l} \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[/tex]

Answer:

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.

Step-by-step explanation:

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