Find the value of the variables in the table: X= n, 4, 6, 10, 12. Y= 1, 9, m, 21, 25
n=0 Y=11?
I get m=13
y = 2x+1
To find the value of the variable in the table, we can compare the values of X and Y at the same position.
Given: X = n, 4, 6, 10, 12 and Y = 1, 9, m, 21, 25.
We want to find the value of the variable "n" when Y = 11.
Comparing the values at the same position, we see that when X = n and Y = 1, they do not match. Therefore, it means that n ≠ 0 and Y ≠ 11.
Thus, we cannot determine the value of n when Y = 11 based on the given table.
To find the value of the variables in the table, we need to analyze the relationship between X and Y.
Looking at the values given:
X = n, 4, 6, 10, 12
Y = 1, 9, m, 21, 25
We can see that there is a pattern in the relationship between X and Y. To find the missing values n and m, we need to observe this pattern and find the rule governing the correspondence between X and Y.
From the given values, we can see that the pattern for X is an increasing sequence of numbers. However, the pattern for Y is not as apparent. Let's examine the differences between consecutive Y values to identify a pattern:
Difference between 9 and 1 = 8
Difference between m and 9 = m - 9
Difference between 21 and m = 21 - m
Difference between 25 and 21 = 4
Since there is a consistent difference of 8 between consecutive Y values, we can assume that the pattern is linear. This means that the difference between consecutive X values should also be consistent.
Difference between 4 and n = 4 - n
Difference between 6 and 4 = 6 - 4 = 2
Difference between 10 and 6 = 10 - 6 = 4
Difference between 12 and 10 = 12 - 10 = 2
From the analysis, we can observe that the difference between consecutive X values alternates between 2 and 4. Therefore, the difference between consecutive Y values should also follow this pattern.
According to the pattern, since the difference between 6 and 4 (corresponding to m and 9) is 2, we can conclude that m = 11.
So, the missing values are:
n = 0
m = 11
Therefore, the values in the table are:
X = 0, 4, 6, 10, 12
Y = 1, 9, 11, 21, 25