Final answer:
In the context of plotting population size N(t) versus time, the slope of the straight line will remain constant, representing a uniform rate of change over time.
Step-by-step explanation:
If population size N(t) is plotted as a linear function of time (t), the slope of the resulting line will remain constant between any two points. This is because when a function is linear, the rate of change between any two points is the same, which is characterized by a constant slope. In other words, the gradient of the line on a graph of population versus time represents the rate at which the population is changing over time. If we are dealing with constant velocity in physics, for example, a position vs. time graph would also display a constant slope indicating uniform motion. Similarly, for constant acceleration, the slope of a plot of 2d versus t depicts constant acceleration. Hence, a straight line on a graph reflects a consistent rate of change, whether it concerns population growth, displacement, or velocity.