Find the value of the variables in the table
x n 4 6 7 10 12
y 1 9 m 21 25
A m=13; n=0
B m=11; n=0
C m=15; n=3 ****
D m=13; n=3
Not quite. n=3 is right, but not m=15
To find the value of the variables in the table, we need to identify any patterns or relationships between the values of x and y.
Looking at the table, we can see that for each value of x, there is a corresponding value of y. Let's analyze the relationship between x and y separately for each row:
For x = 4, y = 1.
For x = 6, y = 9.
For x = 7, the value of y is not given in the table.
For x = 10, y = 21.
For x = 12, y = 25.
From the given data, we can see that there is a common pattern between the values of x and y. By observing the differences between consecutive x-values, we can determine the relationship.
The difference between 6 and 4 is 2. The difference between 9 and 1 is 8.
The difference between 7 and 6 is 1. The difference between 21 and 9 is 12.
The difference between 10 and 7 is 3. The difference between 21 and the unknown value of y is unknown.
The difference between 12 and 10 is 2. The difference between 25 and 21 is 4.
Based on this pattern, we can assume that the difference between x and y is consistent. Therefore, the difference between 7 and the unknown value of y must be 3.
To find the value of y when x = 7, we add the difference of 3 to the previous value of y, which is 9. This gives us y = 9 + 3 = 12.
Finally, we can fill in the missing value of y in the table:
x n
4 6
6 9
7 12
10 21
12 25
So, the correct answer is: C) m = 15; n = 3.
To find the values of the variables in the table, we need to identify any patterns or relationships between the values of x and y.
Looking at the values of x, we can see that they increase by a consistent amount. The difference between consecutive x values is 2 (4 to 6, 6 to 7, 7 to 10, 10 to 12).
Similarly, looking at the values of y, we can see that they also increase by a consistent amount. The difference between consecutive y values is 8 (1 to 9, 9 to m, m to 21, 21 to 25).
To find the missing value of y (designated as m), we can use this pattern and subtract 8 from the previous y value. So, if we subtract 8 from 21, we get m = 13. Therefore, m = 13.
To find the missing value of x (designated as n), we can use the same pattern and subtract 2 from the previous x value. So, if we subtract 2 from 7, we get n = 5. Therefore, n = 5.
However, looking at the possible answer choices, we can see that none of them match our calculated values. It seems there may be an error in the given answer choices.
Thus, we cannot determine the exact values of m and n based on the options provided.