1 2 3 4 12 26 30 48 determine the way of quantities in a proportional relationship. If they do not have a proportional relationship indicate why
A: No, you can't bike 12 miles an hour
B: Yes, this data table has a proportional relationship
C: No, none of the ratios have equivalence
D No, not all of the ratios are proportional or have equivalence
B: Yes, this data table has a proportional relationship.
Are you sure
Apologies for the confusion. Let's analyze the data again:
1 2 3 4 12 26 30 48
If we check the ratios of consecutive numbers, we get:
2/1 = 2
3/2 = 1.5
4/3 ≈ 1.333
12/4 = 3
26/12 ≈ 2.166
30/26 ≈ 1.154
48/30 = 1.6
Since the ratios are not constant, the quantities in this data do not have a proportional relationship. Therefore, the correct answer is:
C: No, none of the ratios have equivalence.
To determine if the given quantities have a proportional relationship, we can look at the ratios between consecutive pairs of numbers.
1:2 = 1/2
2:3 = 2/3
3:4 = 3/4
4:12 = 4/12 = 1/3
12:26 = 12/26 = 6/13
26:30 = 26/30 = 13/15
30:48 = 30/48 = 5/8
By examining the ratios, we can see that they are not all equivalent. Therefore, the quantities in the given sequence do not have a proportional relationship.
Therefore, the correct answer is D: No, not all of the ratios are proportional or have equivalence.
To determine if the given quantities have a proportional relationship, we need to examine the ratios between them. Let's list the ratios for each pair of adjacent numbers:
1/2 = 0.5
2/3 ≈ 0.67
3/4 ≈ 0.75
4/12 ≈ 0.33
12/26 ≈ 0.46
26/30 ≈ 0.87
30/48 ≈ 0.63
Now, let's analyze the values:
A) The ratios here are not given, so it doesn't provide any information about the proportional relationship. We can ignore this option.
B) Looking at the ratios, we observe that they are not the same or constant. Therefore, this data does not have a proportional relationship. So, option B is incorrect.
C) Similarly to option B, none of the ratios have equivalence. This means that the data does not indicate a proportional relationship. Hence, option C is also incorrect.
D) This answer correctly states that not all of the ratios are proportional or have equivalence. Therefore, option D is the correct answer.
In conclusion, the given quantities do not have a proportional relationship.