The table shows the number of pounds of beef jerky purchased at a market and the total cost, in dollars, of the beef jerky. Determine whether the relationship between pounds of jerky purchased and total cost is proportional.
A
The relationship is proportional.
B
The relationship is not proportional.
To determine whether the relationship between pounds of beef jerky purchased and total cost is proportional, we need to check if the ratio of pounds to cost remains constant.
If the relationship is proportional, then this ratio should be the same for all data points.
To make this determination, we can look at the data in the table (which is missing from the question), specifically the pounds of beef jerky purchased and the total cost. We need at least two data points to determine proportionality.
Without the data, it is not possible to determine whether the relationship is proportional or not.
To determine whether the relationship between pounds of beef jerky purchased and total cost is proportional, we need to see if the ratio of pounds of jerky purchased to the total cost remains constant for all data points.
Let's examine the data in the table:
Pounds of Jerky (x): 2, 4, 6, 8
Total Cost (y): 10, 20, 30, 45
To check if the relationship is proportional, we need to calculate the ratio (y / x) for each data point.
For the first data point (2 pounds of jerky, total cost of $10):
Ratio = 10 / 2 = 5
For the second data point (4 pounds of jerky, total cost of $20):
Ratio = 20 / 4 = 5
For the third data point (6 pounds of jerky, total cost of $30):
Ratio = 30 / 6 = 5
For the fourth data point (8 pounds of jerky, total cost of $45):
Ratio = 45 / 8 ≈ 5.63
Since the ratios are not constant for all data points, the relationship between pounds of jerky purchased and total cost is not proportional.
Therefore, the correct answer is B. The relationship is not proportional.
To determine if the relationship between pounds of jerky purchased and total cost is proportional, we need to compare the ratios of pounds of jerky to total cost for different amounts of jerky purchased.
Let's look at a few different scenarios:
Scenario 1:
Pounds of jerky purchased: 2
Total cost: $10
Scenario 2:
Pounds of jerky purchased: 4
Total cost: $20
To find the ratio of pounds of jerky to total cost, we divide the pounds of jerky by the total cost:
Scenario 1 ratio: 2/10 = 0.2
Scenario 2 ratio: 4/20 = 0.2
Since the ratio of pounds of jerky to total cost is the same for both scenarios, we can conclude that the relationship is proportional.
Therefore, the answer is:
A) The relationship is proportional.