Verified answer

Answer:

B - 43

Step-by-step explanation:

f(3,4,11), f(8,12,63), f(9,6,64), f(12,10,?).

(i)

(4 - 3) - (1 - 1) = 1 - 0 = 1

(ii)

(12 - 8) - (6 - 3) = 4 - 3 = 1

(iii)

(9 - 6) - (6 - 4) = 3 - 2 = 1

(iv)

Option Verification:

A. 41

(12 - 10) - (4 - 1) = 2 - 3 = -1

B. 49

(12 - 10) - (4 - 9) = 2 - 5 = -3

D. 47

(12 - 10) - (4 - 7) = 2 - 3 = -1

C. 43

(12 - 10) - (4 - 3) = 2 - 1 = 1

Therefore, f(12,10,43).

Hope it helps!

Step-by-step explanation:

Lets assume it is the function in the form: f (x,y)= ax + by +c, a line in three dimensions.

Considering given information, we have:

f(3,4)=11 --> 3a +4b +c = 11

f(8,12)=63 --> 8a +12b +c = 63

f(9,6)=64 --> 9a+ 6b +c = 64

f(12,10)=?

Solving first 3 equations we find a= 18; b= - 55/2 ; c= 67 => f(x,y) = 18x - (55/2) y +67, then f(10, 12)= 180 - 330 +67 = - 83