Solve for k, the constant of variation, in a direct variation problem, where x = 2 and y = 12. A. k= 1/24

B. k= 24

C. k= 6

D. k= 1/6

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

47 - 90 = 43

43 - 180 = x

x = 137