Answer:
The correct option is c.
Step-by-step explanation:
Linear function: The rate of change of a linear function is always constant.
Non-Linear function: The rate of change of a non-linear function is not constant.
From the given coordinate pairs it is noticed that the function is passing through the points (0,-100), (1,-50), (2,0), (3,100) and (4,150).
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The slope of function for points (0,-100) and (1,-50) is
[tex]m_1=\frac{-50-(-100)}{1-0}=50[/tex]
The slope of function for points (2,0) and (3,100) is
[tex]m_2=\frac{100-0}{3-2}=100[/tex]
Since the slopes of function are different, therefore the given function is non-linear.
The function is not linear because the rate of change is not constant and option c is correct.