Question

Two pounds of cashews cost $19, and 8 pounds cost $76.

Number of pounds 2 3 8
Cost ($) 19 28.50 76
Is the relationship between the cost and the number of pounds of cashews proportional? Explain.

Answer 1

The relationship between the cost and the number of pounds of cashews is proportional.

Step-by-step explanation:

To determine if the relationship between the cost and the number of pounds of cashews is proportional, we need to compare the ratios of the cost to the number of pounds for each data point.

For the 2-pound package, the cost is $19, so the ratio is $19/2 = $9.50 per pound.

For the 8-pound package, the cost is $76, so the ratio is $76/8 = $9.50 per pound.

Since the ratio is the same for both data points, we can conclude that the relationship between the cost and the number of pounds of cashews is proportional.