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.
beef jerky (pounds)|costs (dollars)
1 8
2 16
3 24
4 32
A
The relationship is proportional.
B
The relationship is not proportional.
B. The relationship is not proportional.
This can be determined by checking if the ratio of pounds of beef jerky to total cost is always the same.
For example, for 1 pound of beef jerky, the cost is $8. However, for 2 pounds of beef jerky, the cost is $16, which is not double the cost of 1 pound.
Therefore, the relationship between pounds of jerky purchased and total cost is not proportional.
To determine whether the relationship between pounds of beef jerky purchased and the total cost is proportional, we need to check if the ratio of pounds of jerky to the total cost remains constant.
Let's calculate the ratio for each pair of values:
1 pound of jerky costs $8 ($8/1 lb) -> ratio = 8/1 = 8
2 pounds of jerky cost $16 ($16/2 lbs) -> ratio = 16/2 = 8
3 pounds of jerky cost $24 ($24/3 lbs) -> ratio = 24/3 = 8
4 pounds of jerky cost $32 ($32/4 lbs) -> ratio = 32/4 = 8
As we can see, the ratio of pounds of beef jerky to the total cost remains constant at 8. Therefore, the relationship between pounds of jerky purchased and total cost is proportional.
So the answer is:
A. The relationship is proportional.
To determine whether the relationship between pounds of beef jerky purchased and total cost is proportional, we need to check if the ratio between the pounds of jerky and the total cost remains constant.
Let's calculate the ratios between pounds of jerky and total cost for each pair of values:
For the first pair (1 pound, 8 dollars), the ratio is 8/1 = 8.
For the second pair (2 pounds, 16 dollars), the ratio is 16/2 = 8.
For the third pair (3 pounds, 24 dollars), the ratio is 24/3 = 8.
For the fourth pair (4 pounds, 32 dollars), the ratio is 32/4 = 8.
Since the ratios between pounds of jerky and total cost are all equal to 8, we can conclude that the relationship between pounds of jerky purchased and total cost is proportional.
Therefore, the answer is A) The relationship is proportional.