Answer:
The chameleon is located in the first quadrant of the Cartesian coordinate system.
Step-by-step explanation:
The Cartesian coordinate system is divided into four quadrants, labeled I, II, III, and IV, with the origin (0,0) at the center. In quadrant I, both x and y coordinates are positive. Given that the chameleon is resting quietly on a lanai screen, waiting for an insect, we can assume it's in a typical outdoor setting. The chameleon's position is likely in the first quadrant, as it waits for an insect to approach. This implies positive values for both x and y coordinates, placing it in quadrant I.
To determine the quadrant, we need to consider the chameleon's location in relation to the origin. If the chameleon were in quadrant II, the x-coordinate would be negative, while the y-coordinate would be positive. If it were in quadrant III, both x and y coordinates would be negative. In quadrant IV, the x-coordinate would be positive, and the y-coordinate would be negative. However, since the chameleon is waiting on the lanai screen, it's reasonable to assume it's situated with positive values for both x and y coordinates, placing it definitively in quadrant I.
In conclusion, the chameleon's position on the lanai screen, as described, indicates that it is in the first quadrant of the Cartesian coordinate system. This conclusion is based on the typical conventions of outdoor settings and the chameleon's behavior.
Here is the complete Question: A chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the origin of a Cartesian coordinate system is at the lower left-hand corner of the lanai screen. In which quadrant of the Cartesian coordinate system is the chameleon located? Provide a final answer with a brief reason, and then explain your reasoning in detail.