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.

Question

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

Answer 1

To find the constant of proportionality for the ratio of price to the number of bouquets from the table, you should follow these steps:

1. Identify the ratio: The constant of proportionality can be found by calculating the ratio of the price to the number of bouquets for each entry in the table.

2. Calculate the ratios:

   • For the first row, the ratio is \( \frac{9 \text{ dollars}}{3 \text{ bouquets}} = 3 \).
   • For the second row, the ratio is \( \frac{18 \text{ dollars}}{6 \text{ bouquets}} = 3 \).
   • For the third row, the ratio is \( \frac{27 \text{ dollars}}{9 \text{ bouquets}} = 3 \).
   • For the fourth row, the ratio is \( \frac{36 \text{ dollars}}{12 \text{ bouquets}} = 3 \).

3. Determine the constant of proportionality: Since all the ratios calculated are the same (3), the constant of proportionality for the ratio of price to the number of bouquets is \( 3 \).

This means that for every bouquet, the price is $3.