Question

The graph shows a journey in a car. Which of the statements most likely describes the start of the journey at the portion of the graph labeled I? A line graph is drawn on the first quadrant of a coordinate plane. The x-axis is labeled Time in seconds, and the y-axis is labeled Distance in miles. The line graph is divided into 7 segments labeled I, J, K, L, M, N, and O. I starts at the origin and is a straight line slanting up. J is a line segment that starts at the end of I and is horizontal. K is a curve that starts at the end of J and curves up. L is a straight line that starts at the end of K and is horizontal. M is a straight line that starts at the end of L and slopes down. N is a straight line that starts at the end of M and is horizontal. O is a curve that starts at the end of N and curves down to finally touch the x axis. The car travels the same distance per unit of time because the portion shows a linear, increasing function. The car travels different distances per unit of time because the portion shows a linear, increasing function. The car travels the same distance per unit of time because the portion shows a nonlinear, increasing function. The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.

Answer 1

Answer:

The car travels the same distance per unit of time because the portion shows a linear, increasing function.

Step-by-step explanation:

The portion labeled I is a line slanting up.  This means it is increasing and linear.

Any linear set of data has a constant rate of change; this means that it changes the same amount vertically (the y-coordinate) for every unit change horizontally (the x-coordinate).  

In terms of this problem, this means that the distance (y-coordinate) changes the same amount per unit of time (x-coordinate).

Answer 2

The answer is  The car travels different distances per unit of time because the portion shows a nonlinear, increasing function