The base of a rectangular prism is 40 centimeters long and 5 centimeters wide. The height of the prism is 2 centimeters. Write two different equations that represent the volume of the prism.

400 cm³

Step-by-step explanation:

Volume of a prism

= base area × height

= (40 × 5) × 2

Volume = 200 × 2

This prism is a cuboid

Volume of a cuboid

= length × breadth × height

Volume = 40 × 5 × 2

  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).