The table below shows the price of purchasing salmon based on the weight being purchased.
Weights(pounds) price
3:23.25
6:46.50
9:69.75
12:93.00
15:116.25
Based on the table, what is the constant of proportionality when using weight to find price?
$7.75/lb.
To find the constant of proportionality, we need to identify the relationship between the weights and their corresponding prices. Let's examine the information given in the table.
Looking at the weights (in pounds) and their respective prices, we can observe that as the weight increases, the price also increases. This suggests a direct proportionality relationship between weight and price.
To determine the constant of proportionality, we can choose any two data points from the table and calculate the ratio of the price to the weight.
Let's select the first two data points: (3, 23.25) and (6, 46.50). The weight increases from 3 to 6 pounds, and the price increases from 23.25 to 46.50.
Now, we can calculate the constant of proportionality by dividing the change in price by the change in weight.
Change in price = 46.50 - 23.25 = 23.25
Change in weight = 6 - 3 = 3
Constant of proportionality = Change in price / Change in weight = 23.25 / 3
So, the constant of proportionality when using weight to find price is approximately 7.75.