Function A is represented by the equation y = 6x - 1. Function B is a linear function that goes through the points shown in the
table.
X 1
3
6
y 0 10 15 25
Which statement correctly compares the rates of change of the two
functions?
A. The rate of change of function A is 6.
The rate of change of function B is 5.
O B. The rate of change of function A is
-1.
The rate of change of function B is 10.

The function graphed is f(x) = 3x + 1

See that the y=intercept is at (0,1). That's where the +1 comes from.  

Note that the graph goes up 3 spaces every time it goes 1 to the right.  3/1 = 3 is the slope.

The answer to 12 is C.

The answer to 13 is B.  Neither is a function.  For a function of x to exist, for every x, there must be only one y.  In both tables, there's a number for x that gives two different y's.

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