Determine if the quantities in the data table are in a proportional relationship. if they are not in a proportional relationship, indicate why.
# of trees
2
3
6
10
12
# of apples
26
39
78
130
156
Answers:
Yes, the data table has a proportional relationship
No, the table does not count the consecutively
No, the ratios are not equivalent
No, the ratio 6: 78 is not proportional to the other ratios
To determine if the quantities in a data table are in a proportional relationship, we need to check if the ratios between the two quantities remain constant.
To do this, we can calculate the ratios between the number of trees and the number of apples for each data point:
1st data point: 2 trees / 26 apples = 0.0769
2nd data point: 3 trees / 39 apples = 0.0769
3rd data point: 6 trees / 78 apples = 0.0769
4th data point: 10 trees / 130 apples = 0.0769
5th data point: 12 trees / 156 apples = 0.0769
We see that the ratios between the number of trees and the number of apples are all equal to 0.0769. Therefore, the quantities in the data table are in a proportional relationship. So, the correct answer is:
Yes, the data table has a proportional relationship.