The sum of five sixths of a number and 1 is -14

n = -18

Step-by-step explanation:

5/6n + 1 = -14

         - 1     - 1    Subtract 1 from both sides

5/6 n = -15        Multiply both sides by 6/5

n = -18

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  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).