Which relationship represents a function with a greater rate of change than the function represented above? A B y=(5)/(2)x+3 C y=-(5)/(4)x+4 D

To determine which relationship represents a function with a greater rate of change than the given function, we need to compare the slopes of the linear functions. The slope of a linear function is represented by , which indicates the rate of change.Let's analyze the options:- Option B: - The slope (rate of change) is .- Option C: - The slope (rate of change) is .To determine which option has a greater rate of change, we compare the absolute values of the slopes:- - Since , the function in Option B ( ) has a greater rate of change than the function in Option C ( ).Therefore, the correct answer is **B**.