Yes, the relationship between the cost and the number of pounds of cashews is proportional. To find the cost of 6 pounds, use a proportion. It is possible to prove it is proportional without the table by comparing the ratios.
Yes, the relationship between the cost and the number of pounds of cashews is a proportional relationship.
In a proportional relationship, the ratio between the two variables remains constant.
To determine if the relationship is proportional, we can compare the ratios for each data point.
Let's calculate the ratios for the given data:
For 2 pounds, the cost is $19, so the ratio is 19/2 = 9.5.
For 8 pounds, the cost is $76, so the ratio is 76/8 = 9.5.
As both ratios are equal, we can conclude that it is a proportional relationship.
To find the cost of 6 pounds of cashews, we can use the equation. Since the relationship is proportional, we can set up a proportion:
2 pounds / $19 = 6 pounds / x
Using cross-multiplication, we get 2x = 6 * $19.
Dividing both sides by 2, we find that x = 6 * $19 / 2 = $57.
Yes, it is possible to prove whether the relationship is proportional or not without the table. If the ratios between the cost and the number of pounds of cashews are equal for any two data points, then it is a proportional relationship. In this case, we can see that the ratios remain the same for the given data points, so it is a proportional relationship.