The graph represents function 1, and the equation represents function 2:
A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 4.
Function 2
y = 8x + 12
How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)
3
4
5
8
The rate of change of a function is represented by the slope of the line.
In function 1, a horizontal line is graphed passing through the y-axis at y = 4. This means that the line has a slope of 0 because it is horizontal.
In function 2, the equation is y = 8x + 12. The coefficient of x, 8, represents the rate of change.
Therefore, the rate of change of function 2 is 8, which is 8 more than the rate of change of function 1 (0).
Therefore, the answer is 8.