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Sagot :
In linear functions, the rate of change is equivalent to the slope of the line. In function A we already now the slope intercept equation, which means that we already now the slope of the function.
In this case, the slope of function A is -2 so is the rate of change.
To find the rate of change of function B, we need to use 2 of the ordered pairs in the formula to find the slope of a line:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Let's choose two of the given ordered pairs and replace for them in the formula. We are going to use (1,1) and (3,9):
[tex]m=\frac{9-1}{3-1}=\frac{8}{2}=4[/tex]The slope of function B is 4 so is the rate of change.
In conclusion, the correct choice is A. The rate of change of function A is -2. The rate of change of function B is 4.
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