Which table shows a proportional relationship?
A.
X 1 3 4 6
Y –11 –23 –29 –41
B.
X 1 3 4 6
Y 2 –10 –16 –28
C.
X 1 3 4 6
Y –6 –22 –30 –46
D.
X 1 3 4 6
Y –8 –24 –32 –48
D.
X 1 3 4 6
Y –8 –24 –32 –48
unit 4 lesson 4
Graphs and proportional relationships
1. X |1,2,4,5| Y |5,12,18,30|
2. proportional; $50 per month
3. B
4. 20/25
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To determine which table shows a proportional relationship, we need to check if the ratio between the values of X and Y remains constant.
For table A:
The ratio between X and Y is:
1/-11 = -1/11
3/-23 = -3/23
4/-29 = -4/29
6/-41 = -6/41
The ratios are not constant, so table A does not show a proportional relationship.
For table B:
The ratio between X and Y is:
1/2 = 1/2
3/-10 = -3/10
4/-16 = -1/4
6/-28 = -3/14
The ratios are not constant, so table B does not show a proportional relationship.
For table C:
The ratio between X and Y is:
1/-6 = -1/6
3/-22 = -3/22
4/-30 = -2/15
6/-46 = -3/23
The ratios are not constant, so table C does not show a proportional relationship.
For table D:
The ratio between X and Y is:
1/-8 = -1/8
3/-24 = -1/8
4/-32 = -1/8
6/-48 = -1/8
The ratios are constant, so table D shows a proportional relationship.
Therefore, the correct answer is table D.