Final answer:
To find a pair of points that represent an increasing function with a greater rate of change than y= (8/5)x + (3/5), we need to find points that have a steeper slope. Option B, (3, 5), satisfies these conditions.
Step-by-step explanation:
To identify the pair of points that can represent an increasing function with a greater rate of change than that of the function y = 8/5x + 3/5, we need to find points that lie on a line with a steeper slope than the given function.
The given function has a slope of 8/5, which means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 8/5. To find a steeper slope, we need to find points where the y-coordinate increases by more than 8/5 for the same increase in the x-coordinate.
Looking at the options, we can see that option B. (3, 5) satisfies this condition. When x increases by 3, the y-coordinate increases by 5, which is greater than 8/5.