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Answer:
A function 2
Step-by-step explanation:
"Rate of change" in this context refers to the slope of the line.
Function 1
The slope of the line is the "rise" divided by the "run". That is, the vertical change between two points divided by the horizontal change between two points. Usually, we like to choose points where the line crosses gridline intersections. One of these is the y-intercept (0, -2). Another is 2 units right and 1 unit up at (2, -1).
The slope of function 1 is then ...
m = rise/run = 1/2
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Function 2
The equation for function 2 is written in the "slope-intercept form." That is, the form is ...
y = mx + b . . . . . . . . where m is the slope and b is the y-intercept
Comparing this form to the given equation, we find ...
m = 5/2, b = -2
The slope is m = 5/2.
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The slope of function 2 is 5/2. That is greater than the slope of function 1, which is 1/2.
Function 2 has the greater rate of change.
