Find the value of the variables in the table
X n 4 6 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
I think it's either A or B
looking at (10,21) and (12,25) it appears that the slope of the line is m=2
So, y = 2x+b
Since 2*10 = 20 and 2*12 = 24, it is clear now that
y = 2x+1
So now you can fill in the table and discover m and n.
To find the value of the variables in the table, we can analyze the relationship between the values of X and Y.
Looking at the first column, we see that the pattern is incrementing by 2:
X: 4, 6, 10, 12
Next value of X: 14
Next, let's look at the second column (Y). To find the pattern, we can look at the differences between adjacent values:
1, 9, ?, 21, 25
The difference between 9 and 1 is +8. Similarly, the difference between 21 and 9 is +12, and the difference between 25 and 21 is +4.
Now, we can apply the pattern to find the missing value in the table:
1, 9, 13, 21, 25
From the given options, we can see that the correct answer is A. m=13, n=0.
Therefore, the value of the variables in the table is m=13 and n=0.