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A 2-column table with 4 rows. Column 1 is labeled Number of Bouquets with entries 3, 6, 9, 12. Column 2 is labeled Price (dollars) with entries 9, 18, 27, 36.
How can you find the constant of proportionality
for the ratio of price to number of bouquets from the table?

Respuesta :

Answer:

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

Step-by-step explanation:

The constant of proportionality for the ratio of price to the number of bouquets is 3.

What is constant of proportionality?

"The constant of proportionality is the ratio between two directly proportional quantities."

The formula to calculate the constant of proportionality:

The constant of proportionality 'k' for two quantities x, y is, k = y / x

For given situation,

Number of Bouquets has values 3, 6, 9, 12 and the column Price (dollars) has values 9, 18, 27, 36.

Let x represents the number of bouquets and y represents price.

From the table given below we can observe that the number of bouquets is directly proportional to price(dollars).

As the number of bouquets increases, price also increases.

So, the ratio of price to the number of bouquets would be y/x.

9/3 = 3

18/6 = 3

27/9 = 3

36/12 = 3

This means, the ratio of price to the number of bouquets is constant.

So, the constant of proportionality, k = 3

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