The function with the greater rate of change is: y = 7x + 9.
How to Determine the Rate of Change of a Linear Function?
The slope-intercept form of a linear function is expressed as y = mx + b, where the rate of change is represented as m.
The rate of change for a linear function can also be calculated if we are given a table of values by using just two pairs of points from the table then plugging the values into the formula for rate of change, which is given as:\
m = change in y / change in x = y2 - y1/x2 - x1.
Given the linear function, y = 7x + 9, the rate of change is: 7.
Using two pairs of points from the table of values given, say, (0, 3) and (5, 18):
Rate of change (m) = (18 - 3)/(5 - 0)
Rate of change (m) = 15/5
Rate of change (m) = 3
Thus, the function with the greater rate of change is: y = 7x + 9.
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