Question

Identify the pair of points that can represent an increasing function that has a greater rate of change than that of the function y = 8/5x + 3/5.

Options:
A. (1, 2)
B. (3, 5)
C. (4, 7)
D. (6, 8)

Answer 1

Option D, (6, 8), represents an increasing function with a greater rate of change than y = (8/5)x + (3/5).

Step-by-step explanation:

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 compare the slopes of the two functions.

• The given function has a slope of 8/5, which means that for every 1 unit increase in x, the function increases by 8/5 units.
• To find a pair of points with a greater rate of change, we need to find a function with a steeper slope.
• Comparing the options, we can see that option D, (6, 8), represents a function with a greater rate of change. The slope of this function is 8/6 = 4/3, which is steeper than the slope of the given function.