Question

1. airplanes the graph represents the number of hours of a flight and the distance an airplane is from the ground. a. identify the independent and dependent variables of the relation. b. describe what happens in the graph.

Explanation:

Step1: Identify independent - dependent variables

The independent variable is the one that we can change freely. Here, time (hours of flight) can be freely measured as the flight progresses. The dependent variable depends on the independent one. The distance of the airplane from the ground depends on how much time has passed in the flight. So, the independent variable is the number of hours of a flight and the dependent variable is the distance an airplane is from the ground.

Step2: Describe the graph

At the start, as time (hours) increases, the distance from the ground increases, which means the airplane is taking - off. Then, for a period of time, the distance from the ground remains constant, indicating the airplane is flying at a constant altitude. Finally, as time continues to increase, the distance from the ground decreases, meaning the airplane is landing.

Answer:

a. Independent variable: Number of hours of a flight; Dependent variable: Distance an airplane is from the ground
b. The airplane takes - off (distance from ground increases with time), then flies at a constant altitude (distance remains the same for a while), and finally lands (distance from ground decreases with time).