Identify the table that demonstrates a proportional relationship. (1 point)
• 2,10 5,20 6,30
• 4,2 9,3 16,4
• 10,2 15,3 40,8
• 8,2 12,3 40,4
The table that demonstrates a proportional relationship is:
• 2,10 5,20 6,30
Explain please
A proportional relationship is a relationship between two variables in which their values are in a consistent ratio. In this case, let's examine the first option, which contains the table:
• 2,10 5,20 6,30
If we compare the first set of values (2, 5, 6), we can see that each number increases by 3 as we move to the next number. Similarly, if we compare the second set of values (10, 20, 30), we can observe that each number is equal to the previous number multiplied by 2.
This consistent ratio between the numbers (3 and 2, respectively) demonstrates a proportional relationship. In other words, as the first variable increases, the second variable also increases in a consistent ratio. Therefore, this table demonstrates a proportional relationship.