Diophantus, a Greek mathematician who lived in the 3rd Century B. C., found a connection between triangular numbers (T) and square numbers (K) Find the square number when the triangular number is
a). 6
b). 21
c). 78
d). 276
e). 406
f). 820

  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).

good luck on ur quiz test or homework. have a good day : )

answer is  

a.

16.1

hope you got it chief.