Determine if the quantities in the data table are in a proportional relationship if they are not in a proportional relationship indicate why? Use the table to answer the question? Number of trees 2.3,6,10,12 number of apples 26,39,78,130,156
In order to determine if the quantities in the data table are in a proportional relationship, we need to check if there is a constant ratio between the number of trees and the number of apples.
Let's calculate the ratios between the number of trees and the number of apples for each set of data:
For the first set (2.3 trees, 26 apples), the ratio is 26/2.3 ≈ 11.30
For the second set (6 trees, 39 apples), the ratio is 39/6 ≈ 6.50
For the third set (10 trees, 78 apples), the ratio is 78/10 = 7.80
For the fourth set (12 trees, 130 apples), the ratio is 130/12 ≈ 10.83
For the fifth set (unknown number of trees, 156 apples), we cannot calculate the ratio without knowing the number of trees.
Since the ratios are not constant (11.30, 6.50, 7.80, 10.83), we can conclude that the quantities in the data table are not in a proportional relationship.