Explanation:
To determine which function has the greatest rate of change, we need to calculate the slope of each function.
A. y = 2.5x - 4 is in slope-intercept form y = mx + b, where m is the slope. So, the slope of this function is 2.5.
B. To calculate the slope of the second function, we need to find two points on the line. From the given table, we can choose any two points. Let's choose (2, 5) and (5, 14).
The slope of the line passing through these two points is given by:
slope = (y2 - y1) / (x2 - x1) = (14 - 5) / (5 - 2) = 3.
Therefore, the second function has a greater rate of change since its slope is greater than the slope of the first function.