What is the volume of the triangular prism?

A) 12 cm3
B) 18 cm3
C) 24 cm3
D) 48 cm3

Find the area of the triangle side, then multiply by the length of the prism.

Area of triangle = 1/2 x height x base

Area  = 1/2 x 2 x 3 = 3 square cm

Volume = 3 x 4 = 12 cubic cm.

Answer is A) 12 cm^3

  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).