The formula for the area of a rhombus is a = 1/2d1d2 where d1 and d2 are the lengths of the diagonal. solve the formula for d1

Didn't you mean A = (1/2)d1d2 ?

If so, clear out the fraction by mult. both sides of the eqn by 2:

2A = d1*d2

Now isolate d1 by div. both sides of this result by d2:

2A

= d1        (answer)

d2

  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).

boxplot e is the answer