Question

Which statement correctly compares the rates of change of the two functions?

A) The rates of change are equal.
B) The rates of change are proportional.
C) The rates of change are inverse.
D) The rates of change are unrelated.

Answer 1

The statement that correctly compares the rates of change of the two functions is option D) The rates of change are unrelated. When two functions have unrelated rates of change, it means that the change in one function does not affect the change in the other function.

Step-by-step explanation:

The statement that correctly compares the rates of change of the two functions is option D) The rates of change are unrelated.

When two functions have unrelated rates of change, it means that the change in one function does not affect the change in the other function. In other words, the two functions do not have any direct relationship or proportionality between their rates of change.

For example, if we have a linear function with a constant slope (rate of change) and an exponential function with a changing rate of change, the two functions would have unrelated rates of change.