The varying rate of change and the increasing trend in speed with time indicate a nonlinear relationship in the function describing the connection between time and speed. Here option C is correct.
In analyzing the relationship between time and speed in this context, it's evident that the output values (speed) don't change by a consistent amount for each unit increase in the input values (time). This variability in the rate of change indicates a nonlinear relationship.
Specifically, the speed increases by 40 mph from 2 to 8 seconds, but only by 10 mph from 8 to 16 seconds. This nonlinear behavior suggests that the function is not a simple straight line and may involve curves or other patterns.
Moreover, since the speed increases as time progresses, the function is not decreasing. If the output values were decreasing with an increase in input values, it would indicate a decreasing function.
Therefore, based on the observed characteristics, the correct determination is that the function representing the relationship between time and speed is nonlinear. Here option C is correct.
Complete question:
Sully is driving a race car in a race. The table gives the speeds recorded by the speedometer on Sully's car with respect to time What type of function is the function representing Sully's speed?
A. It is a constant function.
B. It is a linear function.
C. It is a nonlinear function.
D. It is a decreasing function.