Question

The table shows prices that three restaurant chefs paid for the same kind of salmon at the Florida Fish Factory

Weight, w
Price ,p
3 lb. - $ 27.00
5 lb. - $ 45.00
8 lb. - $72.00
What is the value of the constant of proportionality in this situation?
$_________ per pound

Answer 1

The constant of proportionality for the price of salmon per pound is $9.00, as calculated by dividing the price by the weight for any of the given data points.

Step-by-step explanation:

The student is asking for the constant of proportionality, which is the consistent value that relates two quantities that are proportional to each other. In this case, it's the price per pound of salmon. To find this, divide the price by the weight for any of the given scenarios. For the first one, $27.00 divided by 3 pounds equals $9.00 per pound. The second one, $45.00 divided by 5 pounds also equals $9.00 per pound. Finally, $72.00 divided by 8 pounds equals $9.00 per pound. So the constant of proportionality is $9.00 per pound.