Find the variables in the table.
X = e 5 7 10 12
Y = 10 13 19 f 34
A. f = 28; e = 4
B. e = 28; f = 4
C. f = 30; e = 2
D. e = 30; f = 2
To find the variables in the table, we need to look for patterns or relationships between the values of X and Y.
From the given information, we can observe that as the value of X increases, the value of Y also increases. This suggests a linear relationship between X and Y.
Looking at the values of X, we can see that the difference between consecutive terms is increasing by 2 each time (5 to 7, 7 to 10, 10 to 12). This implies that the common difference between the terms is 2.
Based on this pattern, we can determine the missing variables:
For the X variable:
e + 2 = 5, so e = 5 - 2 = 3
f + 2 = 12, so f = 12 - 2 = 10
For the Y variable:
10 + 3 = 13, so no missing variable here
13 + 6 = 19, so no missing variable here
19 + 11 = 30, so f = 30 - 19 = 11
30 + 4 = 34, so no missing variable here
Hence, the answer is D. e = 3, f = 11.
assuming a linear relationship, the slope is (19-13)/(7-5) = 3
see what you can do with that