Final answer:
To determine the rate of change between two functions, one must assess the steepness and direction of their lines on a graph. Function A, being an increasing and steeper line, has a greater rate of change than function B, which is decreasing.
Step-by-step explanation:
When comparing the rate of change for two functions, we must consider the steepness and direction of their lines on a graph. Given that function A is an increasing line and function B is a decreasing line, and we observe that line A is steeper than line B, we can determine that function A has a greater rate of change.
The steepness of a line on a graph is a visual representation of its rate of change. The steeper the line, the greater the rate of change. In the case of increasing lines, a steeper slope indicates a higher rate of change, while for decreasing lines, a steeper slope indicates a lower rate of change due to the negative slope value.
Therefore, the most accurate statement about the rate of change for function A compared to function B is c) The rate of change of function A is greater than B.