Answer:
- The rate of change of function 1 = 0
- The rate of change of the function 2 = 3
Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.
<em>Hence, option C is true.</em>
Step-by-step explanation:
Function 1
A horizontal straight line is drawn joining the ordered pairs (0, 3) and (4, 3).
Given the points
(0, 3)
(4, 3)
It means
at x = 0, y = 3
at x = 4, y = 3
Since the y-values are same, it means the points lie on a horizontal.
The rate of change or slope of a horizontal line is zero because it does not rise vertically ( i.e. y₁ - y₂ = 0).
Therefore, the rate of change of function 1 = 0
Function 2
y = 3x+1
comparing with the slope-intercept form
y = mx+b
here m is the rate of change or slope and b is the y-intercept
so the rate of change of the function 2 = m = 3
Conclusion:
The rate of change of function 1 = 0
The rate of change of the function 2 = 3
Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.
<em>Hence, option C is true.</em>
