Find the value of the variable in the table
X n 4 6 10 12
Y 1 9 m 21 25
A. m equals 13, n = 0 b. and equals 11, n = 0 c. m equals 15, n = 3 d. m = 13, n = 3
The values in the table seem to increase by 2 for the X values and by 4 for the Y values.
For X: 4 --> 6 (add 2), 6 --> 10 (add 4), 10 --> 12 (add 2).
So, we can assume that the pattern starts with adding 2 (for the n value). Therefore:
n --> 4 (add 2, giving us the first X value)
Thus, n = 2.
Now for the Y values:
2 --> 6 (add 4), 6 --> m, m --> 21 (add 4, which is the pattern).
So, m = 17 (6 + 4*2 = 6 + 8 = 17).
The answer is: m equals 17, n = 2. None of the given options match this, so it is possible that there could be an error in the options provided.
To find the value of the variable in the table, we need to look for a pattern or relationship between the values of X and Y. Let's analyze the given table:
When we look at the values of X and Y, we can see that the difference between consecutive X values is increasing by 2 each time (4 -> 6 -> 10 -> 12). Similarly, the difference between consecutive Y values is also increasing by 2 each time (1 -> 9 -> m -> 21 -> 25).
To find the missing value of Y, we can extend the pattern we observed in the differences. Since the difference between consecutive X values is increasing by 2, the next difference should be 2 + 2 = 4. So, the difference between 10 and the missing value (m) should be 4. Therefore, m = 10 + 4 = 14.
Now, to find the value of n, we need to analyze the pattern in the X values. We can see that the X values are increasing by 2 each time, but when we look at the position of the missing value (m = 14), it is at the third position in the X column. So, in order to reach the value 14 starting from the first X value (4), we need to increase it by 2 twice. Therefore, n = 2.
So, the correct answer is option d. m = 14, n = 2.
To find the value of the variable "m" in the table, we need to locate where "m" is in relation to the other values given. Looking at the Y column, we can see that "m" is between 9 and 21.
Since the two numbers surrounding "m" are 9 and 21, we can assume that "m" is the average of these two numbers.
Therefore, the value of "m" is (9 + 21) / 2 = 30 / 2 = 15.
Now, we can determine the value of "n" by looking at its corresponding value in the X column. The value of "n" is 3 because it is located in the X column where the value of "m" is 15.
Therefore, the correct answer is c. m equals 15, and n equals 3.