Question

review the distance versus time graph below.
a. what quantity is the independent variable?
b. what quantity is the dependent variable?
c. what does the slope of the graph represent?
d. what is the relationship between distance and time? use complete sentences to receive full credit.

Explanation:

Step1: Identify independent variable

In a distance - time graph, time is typically the independent variable. It is not affected by the distance and progresses on its own.

Step2: Identify dependent variable

Distance is the dependent variable as it depends on the amount of time elapsed.

Step3: Determine slope meaning

The slope of a distance - time graph represents velocity. Slope = $\frac{\text{change in distance}}{\text{change in time}}$, and velocity is defined as the rate of change of distance with respect to time.

Step4: Describe relationship

The relationship between distance and time in a linear distance - time graph (as shown) is that distance changes at a constant rate with respect to time. This indicates a constant velocity motion.

Answer:

a. Time
b. Distance
c. Velocity
d. The distance changes at a constant rate with respect to time, indicating a constant - velocity motion.