Using the diagram below, which of the following proportionality statements are true? Select all that apply.

The proportionality statement which is true is;

(B)

Step-by-step explanation:

From the diagram, given that the two pentagons are similar, we have;

1.

2.

By similarity of the two polygons, we can get the following statements from among the options;

3.

Therefore, the proportionality statement which is true from the given is the statement;

  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).