Which situation best represents a proportional relationship? (1 point)
Kelly sold 2 rings for $3 and 3 rings for $6.<-----
Lawrence packed 27 plates in 9 boxes and 81 plates in 27 boxes.
Jeff ran 4 miles in 20 minutes and 6 miles in 24 minutes.
Francesca placed 8 pencils in 2 cases and 16 pencils in 8 cases.
Got it its B
No.
Right.
To determine which situation best represents a proportional relationship, we need to check if the ratios of the two quantities remain constant. In a proportional relationship, the ratio between the first quantity and the second quantity stays the same.
In this case, let's look at each situation:
1. Kelly sold 2 rings for $3 and 3 rings for $6.
We can calculate the ratios as follows:
Ratio for the first situation: 2 rings / $3 = 2/3
Ratio for the second situation: 3 rings / $6 = 3/6 = 1/2
Since the ratios are not the same, this situation does not represent a proportional relationship.
2. Lawrence packed 27 plates in 9 boxes and 81 plates in 27 boxes.
Calculating the ratios:
Ratio for the first situation: 27 plates / 9 boxes = 3 plates per box
Ratio for the second situation: 81 plates / 27 boxes = 3 plates per box
Since the ratios are the same (3 plates per box), this situation represents a proportional relationship.
3. Jeff ran 4 miles in 20 minutes and 6 miles in 24 minutes.
Calculating the ratios:
Ratio for the first situation: 4 miles / 20 minutes = 1/5 miles per minute
Ratio for the second situation: 6 miles / 24 minutes = 1/4 miles per minute
Since the ratios are not the same, this situation does not represent a proportional relationship.
4. Francesca placed 8 pencils in 2 cases and 16 pencils in 8 cases.
Calculating the ratios:
Ratio for the first situation: 8 pencils / 2 cases = 4 pencils per case
Ratio for the second situation: 16 pencils / 8 cases = 2 pencils per case
Since the ratios are not the same, this situation does not represent a proportional relationship.
Therefore, the situation where Lawrence packed 27 plates in 9 boxes and 81 plates in 27 boxes represents a proportional relationship.
No.
What is a proportional relationship?
http://intermath.coe.uga.edu/dictnary/descript.asp?termID=487