The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 3x + 1
How much more is the rate of change of function 2 than the rate of change of function 1? (5 points)
1
2
3
4
To find the rate of change of function 1, we can find the difference in y-values and divide it by the difference in x-values between any two points on the graph.
The given graph shows a horizontal straight line with the y-values staying constant at 3. Therefore, the rate of change of function 1 is 0.
The rate of change of function 2 can be found by examining the constant coefficient of the x-term in the equation y = 3x + 1. In this case, the coefficient is 3. Therefore, the rate of change of function 2 is 3.
The difference between the rate of change of function 2 and function 1 is 3 - 0 = 3.
Therefore, the correct answer is 3.