Problem 70

Question

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I graphed a nonlinear system that modeled the orbits of Earth and Mars, and the graphs indicated the system had a solution with a real ordered pair.

Step-by-Step Solution

Verified
Answer
The statement makes sense, as the orbits of Earth and Mars can be represented as a nonlinear system, and the points where the two orbits intersect can be the real ordered pairs or solutions of this system.
1Step 1: Understanding the given statement
The statement states that a nonlinear system is graphed which is representing the orbits of Earth and Mars. The graphs have indicated that the system has a solution with a real ordered pair. A real ordered pair in this context refers to a point where the two orbits intersect.
2Step 2: Evaluation of the statement
The orbits of Earth and Mars are elliptical paths around the sun, and in a 2-dimensional space, these two orbits will intersect at two points. These points of intersection can be referred to as real ordered pairs, or solutions to the nonlinear system that models the orbits. Hence, the statement makes sense.