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Step-by-step explanation:

The linear pair at G totals 180°, so we have ...

  x + 2x = 180

  3x = 180 . . . . . collect terms

  x = 180/3 . . . divide by 3

  x = 60

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The total of angles in the triangle is 180°, so ...

  x + y + 70 = 180

  60 + y + 70 = 180 . . . . substitute for x

  y = 180 -130 . . . . . . . . . subtract 130

  y = 50

  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).